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Finding the Fourth Proportional to 861.91, 1,293.37 and 314.08

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Solution

The fourth proportional to 861.91, 1,293.37 and 314.08 is: 471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.91 : 1,293.37 = 314.08 : x
  2. Step 2: Convert to fraction form
    861.91/1,293.37 = 314.08/x
  3. Step 3: Cross multiply
    861.91x = 1,293.37 × 314.08
  4. Step 4: Simplify right side
    861.91x = 406,217.63
  5. Step 5: Solve for x
    x = 406,217.63/861.91
  6. Step 6: Final answer
    x = 471.30

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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.