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Finding the Fourth Proportional to 512.04, 768.12 and 382.20

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Solution

The fourth proportional to 512.04, 768.12 and 382.20 is: 573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.04 : 768.12 = 382.20 : x
  2. Step 2: Convert to fraction form
    512.04/768.12 = 382.20/x
  3. Step 3: Cross multiply
    512.04x = 768.12 × 382.20
  4. Step 4: Simplify right side
    512.04x = 293,575.46
  5. Step 5: Solve for x
    x = 293,575.46/512.04
  6. Step 6: Final answer
    x = 573.34

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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.