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Finding the Fourth Proportional to 861.95, 1,292.38 and 587.20

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Solution

The fourth proportional to 861.95, 1,292.38 and 587.20 is: 880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.95 : 1,292.38 = 587.20 : x
  2. Step 2: Convert to fraction form
    861.95/1,292.38 = 587.20/x
  3. Step 3: Cross multiply
    861.95x = 1,292.38 × 587.20
  4. Step 4: Simplify right side
    861.95x = 758,885.54
  5. Step 5: Solve for x
    x = 758,885.54/861.95
  6. Step 6: Final answer
    x = 880.43

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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.