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Finding the Fourth Proportional to 516.38, 711.14 and 470.24

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Solution

The fourth proportional to 516.38, 711.14 and 470.24 is: 647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 711.14 = 470.24 : x
  2. Step 2: Convert to fraction form
    516.38/711.14 = 470.24/x
  3. Step 3: Cross multiply
    516.38x = 711.14 × 470.24
  4. Step 4: Simplify right side
    516.38x = 334,400.57
  5. Step 5: Solve for x
    x = 334,400.57/516.38
  6. Step 6: Final answer
    x = 647.59

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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.