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Finding the Fourth Proportional to 516.88, 711.82 and 470.74

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Solution

The fourth proportional to 516.88, 711.82 and 470.74 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 711.82 = 470.74 : x
  2. Step 2: Convert to fraction form
    516.88/711.82 = 470.74/x
  3. Step 3: Cross multiply
    516.88x = 711.82 × 470.74
  4. Step 4: Simplify right side
    516.88x = 335,082.15
  5. Step 5: Solve for x
    x = 335,082.15/516.88
  6. Step 6: Final answer
    x = 648.28

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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.