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Finding the Fourth Proportional to 896.11, 1,242.21 and 861.48

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Solution

The fourth proportional to 896.11, 1,242.21 and 861.48 is: 1,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.11 : 1,242.21 = 861.48 : x
  2. Step 2: Convert to fraction form
    896.11/1,242.21 = 861.48/x
  3. Step 3: Cross multiply
    896.11x = 1,242.21 × 861.48
  4. Step 4: Simplify right side
    896.11x = 1,070,139.07
  5. Step 5: Solve for x
    x = 1,070,139.07/896.11
  6. Step 6: Final answer
    x = 1,194.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.