4:3

Do you mean the ratio 4:3? Here are the basics and quick examples to refresh you for exams.

Key ideas

• A:B = 4:3 means A = 4k and B = 3k for some common factor k.
• A:B = 4:3 implies A/B = 4/3 ≈ 1.333.
• If A:B = 4:3 and A+B = total, then A = (4/7) · total and B = (3/7) · total.
• If you know A = 4k, B = 3k, any given A or B lets you find k.

Examples

1. A:B = 4:3 and A+B = 70

   • 4k + 3k = 70 → 7k = 70 → k = 10
   • A = 4k = 40, B = 3k = 30

2. A:B = 4:3 and A = 48

   • A = 4k → 4k = 48 → k = 12
   • B = 3k = 36

3. Width:Height = 4:3 (aspect ratio). If height = 200, width = (4/3) × 200 = 266.67

4. If A:B = 4:3 and total A+B = 7x

   • A = 4x, B = 3x
   • If total is, say, 7x = 210, then x = 30 → A = 120, B = 90

Would you like me to tailor this to a specific type of problem (pure algebra, geometry, screen sizes, mixtures), or give you a couple of practice questions with solutions? If you have a concrete problem, share it and I’ll walk you through.