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Finding the Fourth Proportional to 876.80, 1,202.13 and 861.19

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Solution

The fourth proportional to 876.80, 1,202.13 and 861.19 is: 1,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.80 : 1,202.13 = 861.19 : x
  2. Step 2: Convert to fraction form
    876.80/1,202.13 = 861.19/x
  3. Step 3: Cross multiply
    876.80x = 1,202.13 × 861.19
  4. Step 4: Simplify right side
    876.80x = 1,035,262.33
  5. Step 5: Solve for x
    x = 1,035,262.33/876.80
  6. Step 6: Final answer
    x = 1,180.73

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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.