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Finding the Fourth Proportional to 681.76, 941.16 and 516.07

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Solution

The fourth proportional to 681.76, 941.16 and 516.07 is: 712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.76 : 941.16 = 516.07 : x
  2. Step 2: Convert to fraction form
    681.76/941.16 = 516.07/x
  3. Step 3: Cross multiply
    681.76x = 941.16 × 516.07
  4. Step 4: Simplify right side
    681.76x = 485,704.44
  5. Step 5: Solve for x
    x = 485,704.44/681.76
  6. Step 6: Final answer
    x = 712.43

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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.