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Finding the Fourth Proportional to 861.59, 1,292.71 and 399.39

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Solution

The fourth proportional to 861.59, 1,292.71 and 399.39 is: 599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.59 : 1,292.71 = 399.39 : x
  2. Step 2: Convert to fraction form
    861.59/1,292.71 = 399.39/x
  3. Step 3: Cross multiply
    861.59x = 1,292.71 × 399.39
  4. Step 4: Simplify right side
    861.59x = 516,295.45
  5. Step 5: Solve for x
    x = 516,295.45/861.59
  6. Step 6: Final answer
    x = 599.24

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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.