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Finding the Fourth Proportional to 636.32, 878.14 and 400.30

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Solution

The fourth proportional to 636.32, 878.14 and 400.30 is: 552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.32 : 878.14 = 400.30 : x
  2. Step 2: Convert to fraction form
    636.32/878.14 = 400.30/x
  3. Step 3: Cross multiply
    636.32x = 878.14 × 400.30
  4. Step 4: Simplify right side
    636.32x = 351,519.44
  5. Step 5: Solve for x
    x = 351,519.44/636.32
  6. Step 6: Final answer
    x = 552.43

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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.