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Finding the Fourth Proportional to 1,338.46, 1,846.97 and 748.91

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Solution

The fourth proportional to 1,338.46, 1,846.97 and 748.91 is: 1,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.46 : 1,846.97 = 748.91 : x
  2. Step 2: Convert to fraction form
    1,338.46/1,846.97 = 748.91/x
  3. Step 3: Cross multiply
    1,338.46x = 1,846.97 × 748.91
  4. Step 4: Simplify right side
    1,338.46x = 1,383,217.98
  5. Step 5: Solve for x
    x = 1,383,217.98/1,338.46
  6. Step 6: Final answer
    x = 1,033.44

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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.