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Finding the Fourth Proportional to 861.34, 1,291.56 and 449.46

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Solution

The fourth proportional to 861.34, 1,291.56 and 449.46 is: 673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.34 : 1,291.56 = 449.46 : x
  2. Step 2: Convert to fraction form
    861.34/1,291.56 = 449.46/x
  3. Step 3: Cross multiply
    861.34x = 1,291.56 × 449.46
  4. Step 4: Simplify right side
    861.34x = 580,504.56
  5. Step 5: Solve for x
    x = 580,504.56/861.34
  6. Step 6: Final answer
    x = 673.96

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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.