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Finding the Fourth Proportional to 768.48, 1,152.80 and 329.78

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Solution

The fourth proportional to 768.48, 1,152.80 and 329.78 is: 494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.48 : 1,152.80 = 329.78 : x
  2. Step 2: Convert to fraction form
    768.48/1,152.80 = 329.78/x
  3. Step 3: Cross multiply
    768.48x = 1,152.80 × 329.78
  4. Step 4: Simplify right side
    768.48x = 380,162.97
  5. Step 5: Solve for x
    x = 380,162.97/768.48
  6. Step 6: Final answer
    x = 494.69

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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.