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Finding the Fourth Proportional to 512.31, 768.60 and 330.60

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Solution

The fourth proportional to 512.31, 768.60 and 330.60 is: 495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.31 : 768.60 = 330.60 : x
  2. Step 2: Convert to fraction form
    512.31/768.60 = 330.60/x
  3. Step 3: Cross multiply
    512.31x = 768.60 × 330.60
  4. Step 4: Simplify right side
    512.31x = 254,099.16
  5. Step 5: Solve for x
    x = 254,099.16/512.31
  6. Step 6: Final answer
    x = 495.99

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1.5x scale

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.