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Finding the Fourth Proportional to 627.11, 864.45 and 516.39

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Solution

The fourth proportional to 627.11, 864.45 and 516.39 is: 711.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.11 : 864.45 = 516.39 : x
  2. Step 2: Convert to fraction form
    627.11/864.45 = 516.39/x
  3. Step 3: Cross multiply
    627.11x = 864.45 × 516.39
  4. Step 4: Simplify right side
    627.11x = 446,393.34
  5. Step 5: Solve for x
    x = 446,393.34/627.11
  6. Step 6: Final answer
    x = 711.83

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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.