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Finding the Fourth Proportional to 1,091.18, 1,504.42 and 891.80

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Solution

The fourth proportional to 1,091.18, 1,504.42 and 891.80 is: 1,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.18 : 1,504.42 = 891.80 : x
  2. Step 2: Convert to fraction form
    1,091.18/1,504.42 = 891.80/x
  3. Step 3: Cross multiply
    1,091.18x = 1,504.42 × 891.80
  4. Step 4: Simplify right side
    1,091.18x = 1,341,646.89
  5. Step 5: Solve for x
    x = 1,341,646.89/1,091.18
  6. Step 6: Final answer
    x = 1,229.54

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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.