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Finding the Fourth Proportional to 512.58, 768.79 and 137.31

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Solution

The fourth proportional to 512.58, 768.79 and 137.31 is: 205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 768.79 = 137.31 : x
  2. Step 2: Convert to fraction form
    512.58/768.79 = 137.31/x
  3. Step 3: Cross multiply
    512.58x = 768.79 × 137.31
  4. Step 4: Simplify right side
    512.58x = 105,562.55
  5. Step 5: Solve for x
    x = 105,562.55/512.58
  6. Step 6: Final answer
    x = 205.94

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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.