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Finding the Fourth Proportional to 512.65, 769.11 and 147.46

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Solution

The fourth proportional to 512.65, 769.11 and 147.46 is: 221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.65 : 769.11 = 147.46 : x
  2. Step 2: Convert to fraction form
    512.65/769.11 = 147.46/x
  3. Step 3: Cross multiply
    512.65x = 769.11 × 147.46
  4. Step 4: Simplify right side
    512.65x = 113,412.22
  5. Step 5: Solve for x
    x = 113,412.22/512.65
  6. Step 6: Final answer
    x = 221.23

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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.