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Finding the Fourth Proportional to 512.67, 768.13 and 347.78

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Solution

The fourth proportional to 512.67, 768.13 and 347.78 is: 521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.67 : 768.13 = 347.78 : x
  2. Step 2: Convert to fraction form
    512.67/768.13 = 347.78/x
  3. Step 3: Cross multiply
    512.67x = 768.13 × 347.78
  4. Step 4: Simplify right side
    512.67x = 267,140.25
  5. Step 5: Solve for x
    x = 267,140.25/512.67
  6. Step 6: Final answer
    x = 521.08

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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.