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Finding the Fourth Proportional to 627.92, 865.80 and 496.88

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Solution

The fourth proportional to 627.92, 865.80 and 496.88 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.92 : 865.80 = 496.88 : x
  2. Step 2: Convert to fraction form
    627.92/865.80 = 496.88/x
  3. Step 3: Cross multiply
    627.92x = 865.80 × 496.88
  4. Step 4: Simplify right side
    627.92x = 430,198.70
  5. Step 5: Solve for x
    x = 430,198.70/627.92
  6. Step 6: Final answer
    x = 685.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.