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Finding the Fourth Proportional to 512.48, 768.74 and 147.23

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Solution

The fourth proportional to 512.48, 768.74 and 147.23 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.48 : 768.74 = 147.23 : x
  2. Step 2: Convert to fraction form
    512.48/768.74 = 147.23/x
  3. Step 3: Cross multiply
    512.48x = 768.74 × 147.23
  4. Step 4: Simplify right side
    512.48x = 113,185.05
  5. Step 5: Solve for x
    x = 113,185.05/512.48
  6. Step 6: Final answer
    x = 220.86

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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.