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Finding the Fourth Proportional to 512.68, 769.56 and 478.12

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Solution

The fourth proportional to 512.68, 769.56 and 478.12 is: 717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.68 : 769.56 = 478.12 : x
  2. Step 2: Convert to fraction form
    512.68/769.56 = 478.12/x
  3. Step 3: Cross multiply
    512.68x = 769.56 × 478.12
  4. Step 4: Simplify right side
    512.68x = 367,942.03
  5. Step 5: Solve for x
    x = 367,942.03/512.68
  6. Step 6: Final answer
    x = 717.68

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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.