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Finding the Fourth Proportional to 500.13, 748.42 and 438.27

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Solution

The fourth proportional to 500.13, 748.42 and 438.27 is: 655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.13 : 748.42 = 438.27 : x
  2. Step 2: Convert to fraction form
    500.13/748.42 = 438.27/x
  3. Step 3: Cross multiply
    500.13x = 748.42 × 438.27
  4. Step 4: Simplify right side
    500.13x = 328,010.03
  5. Step 5: Solve for x
    x = 328,010.03/500.13
  6. Step 6: Final answer
    x = 655.85

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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.