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Finding the Fourth Proportional to 861.55, 1,289.49 and 610.91

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Solution

The fourth proportional to 861.55, 1,289.49 and 610.91 is: 914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.55 : 1,289.49 = 610.91 : x
  2. Step 2: Convert to fraction form
    861.55/1,289.49 = 610.91/x
  3. Step 3: Cross multiply
    861.55x = 1,289.49 × 610.91
  4. Step 4: Simplify right side
    861.55x = 787,755.89
  5. Step 5: Solve for x
    x = 787,755.89/861.55
  6. Step 6: Final answer
    x = 914.35

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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.