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Finding the Fourth Proportional to 861.26, 1,293.67 and 696.92

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Solution

The fourth proportional to 861.26, 1,293.67 and 696.92 is: 1,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.26 : 1,293.67 = 696.92 : x
  2. Step 2: Convert to fraction form
    861.26/1,293.67 = 696.92/x
  3. Step 3: Cross multiply
    861.26x = 1,293.67 × 696.92
  4. Step 4: Simplify right side
    861.26x = 901,584.50
  5. Step 5: Solve for x
    x = 901,584.50/861.26
  6. Step 6: Final answer
    x = 1,046.82

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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.