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Finding the Fourth Proportional to 512.28, 767.34 and 425.41

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Solution

The fourth proportional to 512.28, 767.34 and 425.41 is: 637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.28 : 767.34 = 425.41 : x
  2. Step 2: Convert to fraction form
    512.28/767.34 = 425.41/x
  3. Step 3: Cross multiply
    512.28x = 767.34 × 425.41
  4. Step 4: Simplify right side
    512.28x = 326,432.19
  5. Step 5: Solve for x
    x = 326,432.19/512.28
  6. Step 6: Final answer
    x = 637.21

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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.