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Finding the Fourth Proportional to 861.80, 1,289.97 and 566.91

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Solution

The fourth proportional to 861.80, 1,289.97 and 566.91 is: 848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.80 : 1,289.97 = 566.91 : x
  2. Step 2: Convert to fraction form
    861.80/1,289.97 = 566.91/x
  3. Step 3: Cross multiply
    861.80x = 1,289.97 × 566.91
  4. Step 4: Simplify right side
    861.80x = 731,296.89
  5. Step 5: Solve for x
    x = 731,296.89/861.80
  6. Step 6: Final answer
    x = 848.57

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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.