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Finding the Fourth Proportional to 627.24, 863.71 and 516.53

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Solution

The fourth proportional to 627.24, 863.71 and 516.53 is: 711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.24 : 863.71 = 516.53 : x
  2. Step 2: Convert to fraction form
    627.24/863.71 = 516.53/x
  3. Step 3: Cross multiply
    627.24x = 863.71 × 516.53
  4. Step 4: Simplify right side
    627.24x = 446,131.04
  5. Step 5: Solve for x
    x = 446,131.04/627.24
  6. Step 6: Final answer
    x = 711.26

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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.