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Finding the Fourth Proportional to 861.81, 1,181.28 and 849.66

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Solution

The fourth proportional to 861.81, 1,181.28 and 849.66 is: 1,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.81 : 1,181.28 = 849.66 : x
  2. Step 2: Convert to fraction form
    861.81/1,181.28 = 849.66/x
  3. Step 3: Cross multiply
    861.81x = 1,181.28 × 849.66
  4. Step 4: Simplify right side
    861.81x = 1,003,695.09
  5. Step 5: Solve for x
    x = 1,003,695.09/861.81
  6. Step 6: Final answer
    x = 1,164.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.