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Finding the Fourth Proportional to 861.06, 1,189.13 and 650.89

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Solution

The fourth proportional to 861.06, 1,189.13 and 650.89 is: 898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.06 : 1,189.13 = 650.89 : x
  2. Step 2: Convert to fraction form
    861.06/1,189.13 = 650.89/x
  3. Step 3: Cross multiply
    861.06x = 1,189.13 × 650.89
  4. Step 4: Simplify right side
    861.06x = 773,992.83
  5. Step 5: Solve for x
    x = 773,992.83/861.06
  6. Step 6: Final answer
    x = 898.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.