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Finding the Fourth Proportional to 2,959.76, 4,439.92 and 768.54

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Solution

The fourth proportional to 2,959.76, 4,439.92 and 768.54 is: 1,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.76 : 4,439.92 = 768.54 : x
  2. Step 2: Convert to fraction form
    2,959.76/4,439.92 = 768.54/x
  3. Step 3: Cross multiply
    2,959.76x = 4,439.92 × 768.54
  4. Step 4: Simplify right side
    2,959.76x = 3,412,256.12
  5. Step 5: Solve for x
    x = 3,412,256.12/2,959.76
  6. Step 6: Final answer
    x = 1,152.88

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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.