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Finding the Fourth Proportional to 512.80, 768.22 and 306.75

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Solution

The fourth proportional to 512.80, 768.22 and 306.75 is: 459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 768.22 = 306.75 : x
  2. Step 2: Convert to fraction form
    512.80/768.22 = 306.75/x
  3. Step 3: Cross multiply
    512.80x = 768.22 × 306.75
  4. Step 4: Simplify right side
    512.80x = 235,653.60
  5. Step 5: Solve for x
    x = 235,653.60/512.80
  6. Step 6: Final answer
    x = 459.55

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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.