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Finding the Fourth Proportional to 891.74, 1,338.15 and 343.97

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Solution

The fourth proportional to 891.74, 1,338.15 and 343.97 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.74 : 1,338.15 = 343.97 : x
  2. Step 2: Convert to fraction form
    891.74/1,338.15 = 343.97/x
  3. Step 3: Cross multiply
    891.74x = 1,338.15 × 343.97
  4. Step 4: Simplify right side
    891.74x = 460,283.46
  5. Step 5: Solve for x
    x = 460,283.46/891.74
  6. Step 6: Final answer
    x = 516.16

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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.