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Finding the Fourth Proportional to 892.14, 1,326.89 and 873.69

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Solution

The fourth proportional to 892.14, 1,326.89 and 873.69 is: 1,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,326.89 = 873.69 : x
  2. Step 2: Convert to fraction form
    892.14/1,326.89 = 873.69/x
  3. Step 3: Cross multiply
    892.14x = 1,326.89 × 873.69
  4. Step 4: Simplify right side
    892.14x = 1,159,286.16
  5. Step 5: Solve for x
    x = 1,159,286.16/892.14
  6. Step 6: Final answer
    x = 1,299.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.