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Finding the Fourth Proportional to 865.77, 1,296.90 and 702.69

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Solution

The fourth proportional to 865.77, 1,296.90 and 702.69 is: 1,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.77 : 1,296.90 = 702.69 : x
  2. Step 2: Convert to fraction form
    865.77/1,296.90 = 702.69/x
  3. Step 3: Cross multiply
    865.77x = 1,296.90 × 702.69
  4. Step 4: Simplify right side
    865.77x = 911,318.66
  5. Step 5: Solve for x
    x = 911,318.66/865.77
  6. Step 6: Final answer
    x = 1,052.61

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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.