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Finding the Fourth Proportional to 891.57, 1,227.81 and 873.21

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Solution

The fourth proportional to 891.57, 1,227.81 and 873.21 is: 1,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.57 : 1,227.81 = 873.21 : x
  2. Step 2: Convert to fraction form
    891.57/1,227.81 = 873.21/x
  3. Step 3: Cross multiply
    891.57x = 1,227.81 × 873.21
  4. Step 4: Simplify right side
    891.57x = 1,072,135.97
  5. Step 5: Solve for x
    x = 1,072,135.97/891.57
  6. Step 6: Final answer
    x = 1,202.53

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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.