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Finding the Fourth Proportional to 1,499.76, 2,249.97 and 499.17

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Solution

The fourth proportional to 1,499.76, 2,249.97 and 499.17 is: 748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.76 : 2,249.97 = 499.17 : x
  2. Step 2: Convert to fraction form
    1,499.76/2,249.97 = 499.17/x
  3. Step 3: Cross multiply
    1,499.76x = 2,249.97 × 499.17
  4. Step 4: Simplify right side
    1,499.76x = 1,123,117.52
  5. Step 5: Solve for x
    x = 1,123,117.52/1,499.76
  6. Step 6: Final answer
    x = 748.86

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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.