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Finding the Fourth Proportional to 861.34, 1,288.92 and 746.18

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Solution

The fourth proportional to 861.34, 1,288.92 and 746.18 is: 1,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.34 : 1,288.92 = 746.18 : x
  2. Step 2: Convert to fraction form
    861.34/1,288.92 = 746.18/x
  3. Step 3: Cross multiply
    861.34x = 1,288.92 × 746.18
  4. Step 4: Simplify right side
    861.34x = 961,766.33
  5. Step 5: Solve for x
    x = 961,766.33/861.34
  6. Step 6: Final answer
    x = 1,116.60

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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.