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)

FormulaMenWomen
Devine (1974)50 + 2.3×in45.5 + 2.3×in
Robinson (1983)52 + 1.9×in49 + 1.7×in
Miller (1983)56.2 + 1.41×in53.1 + 1.36×in
Hamwi (1964)48 + 2.7×in45.5 + 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

HeightDevine MChina −105BMI-22 target
160 cm57.2 kg55 kg56.3 kg
170 cm66.5 kg65 kg63.6 kg
175 cm70.7 kg70 kg67.4 kg
180 cm75.2 kg75 kg71.3 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

  1. Single-number worship — all formulas output a ZONE ±10%; obsessing over 70.0 vs 70.7 kg is numerology.
  2. Ignoring body composition — two people at 75 kg can be 15% or 30% fat; the mirror and the tape measure outrank the scale.
  3. Applying adult formulas to teens — growth charts (percentiles) govern under-18; Devine was built for adults.
  4. "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.
  5. Crash-diet anchoring — hitting the number by losing muscle lowers metabolism and guarantees rebound; protein + resistance training protect the goal you actually want.