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Finding the Fourth Proportional to 512.02, 766.96 and 425.15

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Solution

The fourth proportional to 512.02, 766.96 and 425.15 is: 636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 766.96 = 425.15 : x
  2. Step 2: Convert to fraction form
    512.02/766.96 = 425.15/x
  3. Step 3: Cross multiply
    512.02x = 766.96 × 425.15
  4. Step 4: Simplify right side
    512.02x = 326,073.04
  5. Step 5: Solve for x
    x = 326,073.04/512.02
  6. Step 6: Final answer
    x = 636.84

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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.