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Finding the Fourth Proportional to 636.60, 878.56 and 538.22

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Solution

The fourth proportional to 636.60, 878.56 and 538.22 is: 742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.60 : 878.56 = 538.22 : x
  2. Step 2: Convert to fraction form
    636.60/878.56 = 538.22/x
  3. Step 3: Cross multiply
    636.60x = 878.56 × 538.22
  4. Step 4: Simplify right side
    636.60x = 472,858.56
  5. Step 5: Solve for x
    x = 472,858.56/636.60
  6. Step 6: Final answer
    x = 742.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.