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Finding the Fourth Proportional to 861.68, 1,291.08 and 450.24

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Solution

The fourth proportional to 861.68, 1,291.08 and 450.24 is: 674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.68 : 1,291.08 = 450.24 : x
  2. Step 2: Convert to fraction form
    861.68/1,291.08 = 450.24/x
  3. Step 3: Cross multiply
    861.68x = 1,291.08 × 450.24
  4. Step 4: Simplify right side
    861.68x = 581,295.86
  5. Step 5: Solve for x
    x = 581,295.86/861.68
  6. Step 6: Final answer
    x = 674.61

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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.