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Finding the Fourth Proportional to 720.92, 1,081.32 and 702.68

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Solution

The fourth proportional to 720.92, 1,081.32 and 702.68 is: 1,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.92 : 1,081.32 = 702.68 : x
  2. Step 2: Convert to fraction form
    720.92/1,081.32 = 702.68/x
  3. Step 3: Cross multiply
    720.92x = 1,081.32 × 702.68
  4. Step 4: Simplify right side
    720.92x = 759,821.94
  5. Step 5: Solve for x
    x = 759,821.94/720.92
  6. Step 6: Final answer
    x = 1,053.96

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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.