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Finding the Fourth Proportional to 861.34, 1,292.85 and 450.81

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Solution

The fourth proportional to 861.34, 1,292.85 and 450.81 is: 676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.34 : 1,292.85 = 450.81 : x
  2. Step 2: Convert to fraction form
    861.34/1,292.85 = 450.81/x
  3. Step 3: Cross multiply
    861.34x = 1,292.85 × 450.81
  4. Step 4: Simplify right side
    861.34x = 582,823.24
  5. Step 5: Solve for x
    x = 582,823.24/861.34
  6. Step 6: Final answer
    x = 676.65

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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.