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Finding the Fourth Proportional to 682.48, 939.49 and 516.43

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Solution

The fourth proportional to 682.48, 939.49 and 516.43 is: 710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.48 : 939.49 = 516.43 : x
  2. Step 2: Convert to fraction form
    682.48/939.49 = 516.43/x
  3. Step 3: Cross multiply
    682.48x = 939.49 × 516.43
  4. Step 4: Simplify right side
    682.48x = 485,180.82
  5. Step 5: Solve for x
    x = 485,180.82/682.48
  6. Step 6: Final answer
    x = 710.91

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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.