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Finding the Fourth Proportional to 500.22, 748.32 and 432.47

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Solution

The fourth proportional to 500.22, 748.32 and 432.47 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.22 : 748.32 = 432.47 : x
  2. Step 2: Convert to fraction form
    500.22/748.32 = 432.47/x
  3. Step 3: Cross multiply
    500.22x = 748.32 × 432.47
  4. Step 4: Simplify right side
    500.22x = 323,620.05
  5. Step 5: Solve for x
    x = 323,620.05/500.22
  6. Step 6: Final answer
    x = 646.96

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Why These Related Problems?

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