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Finding the Fourth Proportional to 636.74, 878.67 and 356.98

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Solution

The fourth proportional to 636.74, 878.67 and 356.98 is: 492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.74 : 878.67 = 356.98 : x
  2. Step 2: Convert to fraction form
    636.74/878.67 = 356.98/x
  3. Step 3: Cross multiply
    636.74x = 878.67 × 356.98
  4. Step 4: Simplify right side
    636.74x = 313,667.62
  5. Step 5: Solve for x
    x = 313,667.62/636.74
  6. Step 6: Final answer
    x = 492.61

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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.