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Finding the Fourth Proportional to 498.27, 747.61 and 457.91

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Solution

The fourth proportional to 498.27, 747.61 and 457.91 is: 687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.27 : 747.61 = 457.91 : x
  2. Step 2: Convert to fraction form
    498.27/747.61 = 457.91/x
  3. Step 3: Cross multiply
    498.27x = 747.61 × 457.91
  4. Step 4: Simplify right side
    498.27x = 342,336.02
  5. Step 5: Solve for x
    x = 342,336.02/498.27
  6. Step 6: Final answer
    x = 687.04

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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.