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Finding the Fourth Proportional to 891.28, 1,229.44 and 611.04

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Solution

The fourth proportional to 891.28, 1,229.44 and 611.04 is: 842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.28 : 1,229.44 = 611.04 : x
  2. Step 2: Convert to fraction form
    891.28/1,229.44 = 611.04/x
  3. Step 3: Cross multiply
    891.28x = 1,229.44 × 611.04
  4. Step 4: Simplify right side
    891.28x = 751,237.02
  5. Step 5: Solve for x
    x = 751,237.02/891.28
  6. Step 6: Final answer
    x = 842.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.