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Finding the Fourth Proportional to 928.97, 1,394.13 and 748.54

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Solution

The fourth proportional to 928.97, 1,394.13 and 748.54 is: 1,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.97 : 1,394.13 = 748.54 : x
  2. Step 2: Convert to fraction form
    928.97/1,394.13 = 748.54/x
  3. Step 3: Cross multiply
    928.97x = 1,394.13 × 748.54
  4. Step 4: Simplify right side
    928.97x = 1,043,562.07
  5. Step 5: Solve for x
    x = 1,043,562.07/928.97
  6. Step 6: Final answer
    x = 1,123.35

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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.