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Finding the Fourth Proportional to 499.47, 748.17 and 422.17

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Solution

The fourth proportional to 499.47, 748.17 and 422.17 is: 632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 748.17 = 422.17 : x
  2. Step 2: Convert to fraction form
    499.47/748.17 = 422.17/x
  3. Step 3: Cross multiply
    499.47x = 748.17 × 422.17
  4. Step 4: Simplify right side
    499.47x = 315,854.77
  5. Step 5: Solve for x
    x = 315,854.77/499.47
  6. Step 6: Final answer
    x = 632.37

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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.