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Finding the Fourth Proportional to 562.77, 774.23 and 431.55

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Solution

The fourth proportional to 562.77, 774.23 and 431.55 is: 593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.77 : 774.23 = 431.55 : x
  2. Step 2: Convert to fraction form
    562.77/774.23 = 431.55/x
  3. Step 3: Cross multiply
    562.77x = 774.23 × 431.55
  4. Step 4: Simplify right side
    562.77x = 334,116.80
  5. Step 5: Solve for x
    x = 334,116.80/562.77
  6. Step 6: Final answer
    x = 593.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.