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Finding the Fourth Proportional to 635.54, 952.49 and 512.20

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Solution

The fourth proportional to 635.54, 952.49 and 512.20 is: 767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.54 : 952.49 = 512.20 : x
  2. Step 2: Convert to fraction form
    635.54/952.49 = 512.20/x
  3. Step 3: Cross multiply
    635.54x = 952.49 × 512.20
  4. Step 4: Simplify right side
    635.54x = 487,860.44
  5. Step 5: Solve for x
    x = 487,860.44/635.54
  6. Step 6: Final answer
    x = 767.63

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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.