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Finding the Fourth Proportional to 636.36, 878.64 and 496.64

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Solution

The fourth proportional to 636.36, 878.64 and 496.64 is: 685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.36 : 878.64 = 496.64 : x
  2. Step 2: Convert to fraction form
    636.36/878.64 = 496.64/x
  3. Step 3: Cross multiply
    636.36x = 878.64 × 496.64
  4. Step 4: Simplify right side
    636.36x = 436,367.77
  5. Step 5: Solve for x
    x = 436,367.77/636.36
  6. Step 6: Final answer
    x = 685.72

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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.