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Finding the Fourth Proportional to 512.80, 767.26 and 311.70

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Solution

The fourth proportional to 512.80, 767.26 and 311.70 is: 466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 767.26 = 311.70 : x
  2. Step 2: Convert to fraction form
    512.80/767.26 = 311.70/x
  3. Step 3: Cross multiply
    512.80x = 767.26 × 311.70
  4. Step 4: Simplify right side
    512.80x = 239,154.94
  5. Step 5: Solve for x
    x = 239,154.94/512.80
  6. Step 6: Final answer
    x = 466.37

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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.