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Finding the Fourth Proportional to 498.40, 746 and 487.52

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Solution

The fourth proportional to 498.40, 746 and 487.52 is: 729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 746 = 487.52 : x
  2. Step 2: Convert to fraction form
    498.40/746 = 487.52/x
  3. Step 3: Cross multiply
    498.40x = 746 × 487.52
  4. Step 4: Simplify right side
    498.40x = 363,689.92
  5. Step 5: Solve for x
    x = 363,689.92/498.40
  6. Step 6: Final answer
    x = 729.71

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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.