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Finding the Fourth Proportional to 591.38, 888.70 and 516.14

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Solution

The fourth proportional to 591.38, 888.70 and 516.14 is: 775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.38 : 888.70 = 516.14 : x
  2. Step 2: Convert to fraction form
    591.38/888.70 = 516.14/x
  3. Step 3: Cross multiply
    591.38x = 888.70 × 516.14
  4. Step 4: Simplify right side
    591.38x = 458,693.62
  5. Step 5: Solve for x
    x = 458,693.62/591.38
  6. Step 6: Final answer
    x = 775.63

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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.