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Finding the Fourth Proportional to 2,229.64, 3,344.34 and 768.82

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Solution

The fourth proportional to 2,229.64, 3,344.34 and 768.82 is: 1,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.64 : 3,344.34 = 768.82 : x
  2. Step 2: Convert to fraction form
    2,229.64/3,344.34 = 768.82/x
  3. Step 3: Cross multiply
    2,229.64x = 3,344.34 × 768.82
  4. Step 4: Simplify right side
    2,229.64x = 2,571,195.48
  5. Step 5: Solve for x
    x = 2,571,195.48/2,229.64
  6. Step 6: Final answer
    x = 1,153.19

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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.