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Finding the Fourth Proportional to 512.42, 764.13 and 447.62

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Solution

The fourth proportional to 512.42, 764.13 and 447.62 is: 667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 764.13 = 447.62 : x
  2. Step 2: Convert to fraction form
    512.42/764.13 = 447.62/x
  3. Step 3: Cross multiply
    512.42x = 764.13 × 447.62
  4. Step 4: Simplify right side
    512.42x = 342,039.87
  5. Step 5: Solve for x
    x = 342,039.87/512.42
  6. Step 6: Final answer
    x = 667.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.