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Finding the Fourth Proportional to 681.91, 941.31 and 516.17

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Solution

The fourth proportional to 681.91, 941.31 and 516.17 is: 712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.91 : 941.31 = 516.17 : x
  2. Step 2: Convert to fraction form
    681.91/941.31 = 516.17/x
  3. Step 3: Cross multiply
    681.91x = 941.31 × 516.17
  4. Step 4: Simplify right side
    681.91x = 485,875.98
  5. Step 5: Solve for x
    x = 485,875.98/681.91
  6. Step 6: Final answer
    x = 712.52

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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.