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Finding the Fourth Proportional to 891.62, 1,338.97 and 754.76

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Solution

The fourth proportional to 891.62, 1,338.97 and 754.76 is: 1,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.62 : 1,338.97 = 754.76 : x
  2. Step 2: Convert to fraction form
    891.62/1,338.97 = 754.76/x
  3. Step 3: Cross multiply
    891.62x = 1,338.97 × 754.76
  4. Step 4: Simplify right side
    891.62x = 1,010,597.22
  5. Step 5: Solve for x
    x = 1,010,597.22/891.62
  6. Step 6: Final answer
    x = 1,133.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.