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Finding the Fourth Proportional to 2,228.28, 3,342.44 and 768.43

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Solution

The fourth proportional to 2,228.28, 3,342.44 and 768.43 is: 1,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.28 : 3,342.44 = 768.43 : x
  2. Step 2: Convert to fraction form
    2,228.28/3,342.44 = 768.43/x
  3. Step 3: Cross multiply
    2,228.28x = 3,342.44 × 768.43
  4. Step 4: Simplify right side
    2,228.28x = 2,568,431.17
  5. Step 5: Solve for x
    x = 2,568,431.17/2,228.28
  6. Step 6: Final answer
    x = 1,152.65

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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.