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Finding the Fourth Proportional to 500.28, 752.03 and 497.85

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Solution

The fourth proportional to 500.28, 752.03 and 497.85 is: 748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 752.03 = 497.85 : x
  2. Step 2: Convert to fraction form
    500.28/752.03 = 497.85/x
  3. Step 3: Cross multiply
    500.28x = 752.03 × 497.85
  4. Step 4: Simplify right side
    500.28x = 374,395.62
  5. Step 5: Solve for x
    x = 374,395.62/500.28
  6. Step 6: Final answer
    x = 748.38

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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.