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Finding the Fourth Proportional to 861.15, 1,288.08 and 584.13

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Solution

The fourth proportional to 861.15, 1,288.08 and 584.13 is: 873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.15 : 1,288.08 = 584.13 : x
  2. Step 2: Convert to fraction form
    861.15/1,288.08 = 584.13/x
  3. Step 3: Cross multiply
    861.15x = 1,288.08 × 584.13
  4. Step 4: Simplify right side
    861.15x = 752,404.71
  5. Step 5: Solve for x
    x = 752,404.71/861.15
  6. Step 6: Final answer
    x = 873.72

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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.