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Finding the Fourth Proportional to 861.62, 1,293.14 and 399.47

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Solution

The fourth proportional to 861.62, 1,293.14 and 399.47 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.62 : 1,293.14 = 399.47 : x
  2. Step 2: Convert to fraction form
    861.62/1,293.14 = 399.47/x
  3. Step 3: Cross multiply
    861.62x = 1,293.14 × 399.47
  4. Step 4: Simplify right side
    861.62x = 516,569.50
  5. Step 5: Solve for x
    x = 516,569.50/861.62
  6. Step 6: Final answer
    x = 599.53

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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.