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Finding the Fourth Proportional to 516.26, 711.36 and 422.70

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Solution

The fourth proportional to 516.26, 711.36 and 422.70 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.26 : 711.36 = 422.70 : x
  2. Step 2: Convert to fraction form
    516.26/711.36 = 422.70/x
  3. Step 3: Cross multiply
    516.26x = 711.36 × 422.70
  4. Step 4: Simplify right side
    516.26x = 300,691.87
  5. Step 5: Solve for x
    x = 300,691.87/516.26
  6. Step 6: Final answer
    x = 582.45

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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.