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Finding the Fourth Proportional to 769.32, 1,146.44 and 748.20

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Solution

The fourth proportional to 769.32, 1,146.44 and 748.20 is: 1,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.32 : 1,146.44 = 748.20 : x
  2. Step 2: Convert to fraction form
    769.32/1,146.44 = 748.20/x
  3. Step 3: Cross multiply
    769.32x = 1,146.44 × 748.20
  4. Step 4: Simplify right side
    769.32x = 857,766.41
  5. Step 5: Solve for x
    x = 857,766.41/769.32
  6. Step 6: Final answer
    x = 1,114.97

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1.5x scale

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.