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Finding the Fourth Proportional to 512.44, 767.34 and 381.64

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Solution

The fourth proportional to 512.44, 767.34 and 381.64 is: 571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 767.34 = 381.64 : x
  2. Step 2: Convert to fraction form
    512.44/767.34 = 381.64/x
  3. Step 3: Cross multiply
    512.44x = 767.34 × 381.64
  4. Step 4: Simplify right side
    512.44x = 292,847.64
  5. Step 5: Solve for x
    x = 292,847.64/512.44
  6. Step 6: Final answer
    x = 571.48

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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.