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Finding the Fourth Proportional to 681.28, 938.50 and 494.22

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Solution

The fourth proportional to 681.28, 938.50 and 494.22 is: 680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.28 : 938.50 = 494.22 : x
  2. Step 2: Convert to fraction form
    681.28/938.50 = 494.22/x
  3. Step 3: Cross multiply
    681.28x = 938.50 × 494.22
  4. Step 4: Simplify right side
    681.28x = 463,825.47
  5. Step 5: Solve for x
    x = 463,825.47/681.28
  6. Step 6: Final answer
    x = 680.81

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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.