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Finding the Fourth Proportional to 636, 878.09 and 400.27

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Solution

The fourth proportional to 636, 878.09 and 400.27 is: 552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    636 : 878.09 = 400.27 : x
  2. Step 2: Convert to fraction form
    636/878.09 = 400.27/x
  3. Step 3: Cross multiply
    636x = 878.09 × 400.27
  4. Step 4: Simplify right side
    636x = 351,473.08
  5. Step 5: Solve for x
    x = 351,473.08/636
  6. Step 6: Final answer
    x = 552.63

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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.