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Finding the Fourth Proportional to 768.37, 1,152.70 and 329.62

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Solution

The fourth proportional to 768.37, 1,152.70 and 329.62 is: 494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.37 : 1,152.70 = 329.62 : x
  2. Step 2: Convert to fraction form
    768.37/1,152.70 = 329.62/x
  3. Step 3: Cross multiply
    768.37x = 1,152.70 × 329.62
  4. Step 4: Simplify right side
    768.37x = 379,951.43
  5. Step 5: Solve for x
    x = 379,951.43/768.37
  6. Step 6: Final answer
    x = 494.49

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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.