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Finding the Fourth Proportional to 681.12, 939.69 and 610.83

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Solution

The fourth proportional to 681.12, 939.69 and 610.83 is: 842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.12 : 939.69 = 610.83 : x
  2. Step 2: Convert to fraction form
    681.12/939.69 = 610.83/x
  3. Step 3: Cross multiply
    681.12x = 939.69 × 610.83
  4. Step 4: Simplify right side
    681.12x = 573,990.84
  5. Step 5: Solve for x
    x = 573,990.84/681.12
  6. Step 6: Final answer
    x = 842.72

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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.