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Finding the Fourth Proportional to 627.28, 863.64 and 502.48

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Solution

The fourth proportional to 627.28, 863.64 and 502.48 is: 691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.28 : 863.64 = 502.48 : x
  2. Step 2: Convert to fraction form
    627.28/863.64 = 502.48/x
  3. Step 3: Cross multiply
    627.28x = 863.64 × 502.48
  4. Step 4: Simplify right side
    627.28x = 433,961.83
  5. Step 5: Solve for x
    x = 433,961.83/627.28
  6. Step 6: Final answer
    x = 691.82

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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.