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Finding the Fourth Proportional to 681.74, 938.46 and 515.68

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Solution

The fourth proportional to 681.74, 938.46 and 515.68 is: 709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.74 : 938.46 = 515.68 : x
  2. Step 2: Convert to fraction form
    681.74/938.46 = 515.68/x
  3. Step 3: Cross multiply
    681.74x = 938.46 × 515.68
  4. Step 4: Simplify right side
    681.74x = 483,945.05
  5. Step 5: Solve for x
    x = 483,945.05/681.74
  6. Step 6: Final answer
    x = 709.87

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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.