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Finding the Fourth Proportional to 892.32, 1,338.54 and 826.74

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Solution

The fourth proportional to 892.32, 1,338.54 and 826.74 is: 1,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.32 : 1,338.54 = 826.74 : x
  2. Step 2: Convert to fraction form
    892.32/1,338.54 = 826.74/x
  3. Step 3: Cross multiply
    892.32x = 1,338.54 × 826.74
  4. Step 4: Simplify right side
    892.32x = 1,106,624.56
  5. Step 5: Solve for x
    x = 1,106,624.56/892.32
  6. Step 6: Final answer
    x = 1,240.17

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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.