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Finding the Fourth Proportional to 839.97, 1,257.83 and 702.68

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Solution

The fourth proportional to 839.97, 1,257.83 and 702.68 is: 1,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.97 : 1,257.83 = 702.68 : x
  2. Step 2: Convert to fraction form
    839.97/1,257.83 = 702.68/x
  3. Step 3: Cross multiply
    839.97x = 1,257.83 × 702.68
  4. Step 4: Simplify right side
    839.97x = 883,842.18
  5. Step 5: Solve for x
    x = 883,842.18/839.97
  6. Step 6: Final answer
    x = 1,052.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.