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Finding the Fourth Proportional to 1,472.43, 2,209.02 and 498.57

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Solution

The fourth proportional to 1,472.43, 2,209.02 and 498.57 is: 747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.43 : 2,209.02 = 498.57 : x
  2. Step 2: Convert to fraction form
    1,472.43/2,209.02 = 498.57/x
  3. Step 3: Cross multiply
    1,472.43x = 2,209.02 × 498.57
  4. Step 4: Simplify right side
    1,472.43x = 1,101,351.10
  5. Step 5: Solve for x
    x = 1,101,351.10/1,472.43
  6. Step 6: Final answer
    x = 747.98

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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.