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Finding the Fourth Proportional to 892.78, 1,338.99 and 748.06

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Solution

The fourth proportional to 892.78, 1,338.99 and 748.06 is: 1,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.78 : 1,338.99 = 748.06 : x
  2. Step 2: Convert to fraction form
    892.78/1,338.99 = 748.06/x
  3. Step 3: Cross multiply
    892.78x = 1,338.99 × 748.06
  4. Step 4: Simplify right side
    892.78x = 1,001,644.86
  5. Step 5: Solve for x
    x = 1,001,644.86/892.78
  6. Step 6: Final answer
    x = 1,121.94

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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.