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Finding the Fourth Proportional to 894.13, 1,331.42 and 861.33

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Solution

The fourth proportional to 894.13, 1,331.42 and 861.33 is: 1,282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.13 : 1,331.42 = 861.33 : x
  2. Step 2: Convert to fraction form
    894.13/1,331.42 = 861.33/x
  3. Step 3: Cross multiply
    894.13x = 1,331.42 × 861.33
  4. Step 4: Simplify right side
    894.13x = 1,146,791.99
  5. Step 5: Solve for x
    x = 1,146,791.99/894.13
  6. Step 6: Final answer
    x = 1,282.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.