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Finding the Fourth Proportional to 1,472.76, 2,209.50 and 498.87

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Solution

The fourth proportional to 1,472.76, 2,209.50 and 498.87 is: 748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.76 : 2,209.50 = 498.87 : x
  2. Step 2: Convert to fraction form
    1,472.76/2,209.50 = 498.87/x
  3. Step 3: Cross multiply
    1,472.76x = 2,209.50 × 498.87
  4. Step 4: Simplify right side
    1,472.76x = 1,102,253.27
  5. Step 5: Solve for x
    x = 1,102,253.27/1,472.76
  6. Step 6: Final answer
    x = 748.43

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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.