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Finding the Fourth Proportional to 636.18, 952.59 and 512.12

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Solution

The fourth proportional to 636.18, 952.59 and 512.12 is: 766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.18 : 952.59 = 512.12 : x
  2. Step 2: Convert to fraction form
    636.18/952.59 = 512.12/x
  3. Step 3: Cross multiply
    636.18x = 952.59 × 512.12
  4. Step 4: Simplify right side
    636.18x = 487,840.39
  5. Step 5: Solve for x
    x = 487,840.39/636.18
  6. Step 6: Final answer
    x = 766.83

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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.