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Finding the Fourth Proportional to 636.91, 878.44 and 427.03

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Solution

The fourth proportional to 636.91, 878.44 and 427.03 is: 588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.91 : 878.44 = 427.03 : x
  2. Step 2: Convert to fraction form
    636.91/878.44 = 427.03/x
  3. Step 3: Cross multiply
    636.91x = 878.44 × 427.03
  4. Step 4: Simplify right side
    636.91x = 375,120.23
  5. Step 5: Solve for x
    x = 375,120.23/636.91
  6. Step 6: Final answer
    x = 588.97

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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.