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Finding the Fourth Proportional to 2,229.49, 3,344.60 and 769.06

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Solution

The fourth proportional to 2,229.49, 3,344.60 and 769.06 is: 1,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.49 : 3,344.60 = 769.06 : x
  2. Step 2: Convert to fraction form
    2,229.49/3,344.60 = 769.06/x
  3. Step 3: Cross multiply
    2,229.49x = 3,344.60 × 769.06
  4. Step 4: Simplify right side
    2,229.49x = 2,572,198.08
  5. Step 5: Solve for x
    x = 2,572,198.08/2,229.49
  6. Step 6: Final answer
    x = 1,153.72

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1.5x scale

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.