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Finding the Fourth Proportional to 658.72, 988.44 and 467.92

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Solution

The fourth proportional to 658.72, 988.44 and 467.92 is: 702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.72 : 988.44 = 467.92 : x
  2. Step 2: Convert to fraction form
    658.72/988.44 = 467.92/x
  3. Step 3: Cross multiply
    658.72x = 988.44 × 467.92
  4. Step 4: Simplify right side
    658.72x = 462,510.84
  5. Step 5: Solve for x
    x = 462,510.84/658.72
  6. Step 6: Final answer
    x = 702.14

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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.