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Finding the Fourth Proportional to 636.44, 952.82 and 471.20

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Solution

The fourth proportional to 636.44, 952.82 and 471.20 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.44 : 952.82 = 471.20 : x
  2. Step 2: Convert to fraction form
    636.44/952.82 = 471.20/x
  3. Step 3: Cross multiply
    636.44x = 952.82 × 471.20
  4. Step 4: Simplify right side
    636.44x = 448,961.66
  5. Step 5: Solve for x
    x = 448,961.66/636.44
  6. Step 6: Final answer
    x = 705.43

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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.