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Finding the Fourth Proportional to 642.18, 961.99 and 469.21

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Solution

The fourth proportional to 642.18, 961.99 and 469.21 is: 702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.18 : 961.99 = 469.21 : x
  2. Step 2: Convert to fraction form
    642.18/961.99 = 469.21/x
  3. Step 3: Cross multiply
    642.18x = 961.99 × 469.21
  4. Step 4: Simplify right side
    642.18x = 451,375.33
  5. Step 5: Solve for x
    x = 451,375.33/642.18
  6. Step 6: Final answer
    x = 702.88

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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.