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Finding the Fourth Proportional to 500.32, 748.32 and 478

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Solution

The fourth proportional to 500.32, 748.32 and 478 is: 714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.32 : 748.32 = 478 : x
  2. Step 2: Convert to fraction form
    500.32/748.32 = 478/x
  3. Step 3: Cross multiply
    500.32x = 748.32 × 478
  4. Step 4: Simplify right side
    500.32x = 357,696.96
  5. Step 5: Solve for x
    x = 357,696.96/500.32
  6. Step 6: Final answer
    x = 714.94

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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.