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Finding the Fourth Proportional to 513.20, 768.96 and 330.48

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Solution

The fourth proportional to 513.20, 768.96 and 330.48 is: 495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 768.96 = 330.48 : x
  2. Step 2: Convert to fraction form
    513.20/768.96 = 330.48/x
  3. Step 3: Cross multiply
    513.20x = 768.96 × 330.48
  4. Step 4: Simplify right side
    513.20x = 254,125.90
  5. Step 5: Solve for x
    x = 254,125.90/513.20
  6. Step 6: Final answer
    x = 495.18

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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.