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Finding the Fourth Proportional to 512.16, 767.46 and 381.55

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Solution

The fourth proportional to 512.16, 767.46 and 381.55 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 767.46 = 381.55 : x
  2. Step 2: Convert to fraction form
    512.16/767.46 = 381.55/x
  3. Step 3: Cross multiply
    512.16x = 767.46 × 381.55
  4. Step 4: Simplify right side
    512.16x = 292,821.48
  5. Step 5: Solve for x
    x = 292,821.48/512.16
  6. Step 6: Final answer
    x = 571.74

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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.