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Finding the Fourth Proportional to 636.78, 878.50 and 404.04

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Solution

The fourth proportional to 636.78, 878.50 and 404.04 is: 557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.78 : 878.50 = 404.04 : x
  2. Step 2: Convert to fraction form
    636.78/878.50 = 404.04/x
  3. Step 3: Cross multiply
    636.78x = 878.50 × 404.04
  4. Step 4: Simplify right side
    636.78x = 354,949.14
  5. Step 5: Solve for x
    x = 354,949.14/636.78
  6. Step 6: Final answer
    x = 557.41

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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.