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Finding the Fourth Proportional to 635.72, 952.14 and 452.12

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Solution

The fourth proportional to 635.72, 952.14 and 452.12 is: 677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.72 : 952.14 = 452.12 : x
  2. Step 2: Convert to fraction form
    635.72/952.14 = 452.12/x
  3. Step 3: Cross multiply
    635.72x = 952.14 × 452.12
  4. Step 4: Simplify right side
    635.72x = 430,481.54
  5. Step 5: Solve for x
    x = 430,481.54/635.72
  6. Step 6: Final answer
    x = 677.16

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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.