Core answer: "Ideal weight" formulas cluster around BMI 21–22: Devine (men) = 50 kg + 2.3 kg per inch over 5 ft; Robinson = 52 + 1.9/in; Miller = 56.2 + 1.41/in. For 175 cm (5'9") men: Devine 70.7, Robinson 69.1, Miller 68.3 kg — all ≈ BMI 22–23. Women: Devine = 45.5 + 2.3/in. Treat these as a reference zone (±10%), not a verdict — frame size, muscle, and sport matter more than the second decimal.
The four classic formulas (height over 5 feet = 152.4 cm)
| Formula | Men | Women |
|---|---|---|
| Devine (1974) | 50 + 2.3×in | 45.5 + 2.3×in |
| Robinson (1983) | 52 + 1.9×in | 49 + 1.7×in |
| Miller (1983) | 56.2 + 1.41×in | 53.1 + 1.36×in |
| Hamwi (1964) | 48 + 2.7×in | 45.5 + 2.2×in |
China's common quick formula: 身高(cm) − 105 = standard kg (men), − 107.5 (women). 175 cm man → 70 kg ✓ (lands right in the Devine cluster).
Comparison at common heights
| Height | Devine M | China −105 | BMI-22 target |
|---|---|---|---|
| 160 cm | 57.2 kg | 55 kg | 56.3 kg |
| 170 cm | 66.5 kg | 65 kg | 63.6 kg |
| 175 cm | 70.7 kg | 70 kg | 67.4 kg |
| 180 cm | 75.2 kg | 75 kg | 71.3 kg |
All formulas agree within ±3 kg — pick the middle as your reference, then adjust ±10% for frame.
Adjusting for frame size
Wrist test: wrap thumb+middle finger around your wrist (for height 158–172 cm adults). Fingers overlap → small frame (−10%); just touch → medium; gap → large frame (+10%). A 175 cm large-framed man's realistic zone: 70 + 10% ≈ 63–77 kg.
Worked examples
Example 1 — Setting a goal. 168 cm woman, medium frame: Devine 45.5 + 2.3×(168−152.4)/2.54 ≈ 45.5 + 14.1 ≈ 59.6? Careful: inches over 5 ft = (168−152.4)/2.54 = 6.14 in → 45.5 + 14.1 = 59.6 kg. China quick: 168 − 107.5 = 60.5 kg. BMI-22: 62 kg. Reference zone ≈ 58–62 kg.
Example 2 — The muscular exception. A 175 cm strength athlete at 82 kg, body fat 12%: every formula says "overweight"; body composition says excellent. Ideal-weight formulas assume average muscle — athletes should use body-fat targets (men 10–20%, women 18–28%) instead.
Example 3 — Realistic rate. Current 78 kg, target 68 kg: at a 300–500 kcal/day deficit, expect 0.3–0.5 kg/week → 5–8 months. Plans promising 10 kg/month sell water and muscle loss.
Common mistakes and myths
- Single-number worship — all formulas output a ZONE ±10%; obsessing over 70.0 vs 70.7 kg is numerology.
- Ignoring body composition — two people at 75 kg can be 15% or 30% fat; the mirror and the tape measure outrank the scale.
- Applying adult formulas to teens — growth charts (percentiles) govern under-18; Devine was built for adults.
- "Ideal = healthy" always — metabolically healthy obesity and skinny-fat normal weight both exist; waist circumference (< 90 cm men, < 85 cm women in China) adds the missing signal.
- Crash-diet anchoring — hitting the number by losing muscle lowers metabolism and guarantees rebound; protein + resistance training protect the goal you actually want.