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Finding the Fourth Proportional to 681.31, 940.61 and 494.61

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Solution

The fourth proportional to 681.31, 940.61 and 494.61 is: 682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.31 : 940.61 = 494.61 : x
  2. Step 2: Convert to fraction form
    681.31/940.61 = 494.61/x
  3. Step 3: Cross multiply
    681.31x = 940.61 × 494.61
  4. Step 4: Simplify right side
    681.31x = 465,232.82
  5. Step 5: Solve for x
    x = 465,232.82/681.31
  6. Step 6: Final answer
    x = 682.85

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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.