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Finding the Fourth Proportional to 500.74, 747.49 and 432.70

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Solution

The fourth proportional to 500.74, 747.49 and 432.70 is: 645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.74 : 747.49 = 432.70 : x
  2. Step 2: Convert to fraction form
    500.74/747.49 = 432.70/x
  3. Step 3: Cross multiply
    500.74x = 747.49 × 432.70
  4. Step 4: Simplify right side
    500.74x = 323,438.92
  5. Step 5: Solve for x
    x = 323,438.92/500.74
  6. Step 6: Final answer
    x = 645.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.