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Finding the Fourth Proportional to 2,229.70, 3,343.84 and 768.67

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Solution

The fourth proportional to 2,229.70, 3,343.84 and 768.67 is: 1,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.70 : 3,343.84 = 768.67 : x
  2. Step 2: Convert to fraction form
    2,229.70/3,343.84 = 768.67/x
  3. Step 3: Cross multiply
    2,229.70x = 3,343.84 × 768.67
  4. Step 4: Simplify right side
    2,229.70x = 2,570,309.49
  5. Step 5: Solve for x
    x = 2,570,309.49/2,229.70
  6. Step 6: Final answer
    x = 1,152.76

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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.