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Finding the Fourth Proportional to 892.83, 1,224.26 and 861.93

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Solution

The fourth proportional to 892.83, 1,224.26 and 861.93 is: 1,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.83 : 1,224.26 = 861.93 : x
  2. Step 2: Convert to fraction form
    892.83/1,224.26 = 861.93/x
  3. Step 3: Cross multiply
    892.83x = 1,224.26 × 861.93
  4. Step 4: Simplify right side
    892.83x = 1,055,228.58
  5. Step 5: Solve for x
    x = 1,055,228.58/892.83
  6. Step 6: Final answer
    x = 1,181.89

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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.