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Finding the Fourth Proportional to 498.92, 747.17 and 293.55

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Solution

The fourth proportional to 498.92, 747.17 and 293.55 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.92 : 747.17 = 293.55 : x
  2. Step 2: Convert to fraction form
    498.92/747.17 = 293.55/x
  3. Step 3: Cross multiply
    498.92x = 747.17 × 293.55
  4. Step 4: Simplify right side
    498.92x = 219,331.75
  5. Step 5: Solve for x
    x = 219,331.75/498.92
  6. Step 6: Final answer
    x = 439.61

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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.