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Finding the Fourth Proportional to 500.28, 748.41 and 432.53

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Solution

The fourth proportional to 500.28, 748.41 and 432.53 is: 647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 748.41 = 432.53 : x
  2. Step 2: Convert to fraction form
    500.28/748.41 = 432.53/x
  3. Step 3: Cross multiply
    500.28x = 748.41 × 432.53
  4. Step 4: Simplify right side
    500.28x = 323,709.78
  5. Step 5: Solve for x
    x = 323,709.78/500.28
  6. Step 6: Final answer
    x = 647.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.