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Finding the Fourth Proportional to 635.76, 878.49 and 496.23

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Solution

The fourth proportional to 635.76, 878.49 and 496.23 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.76 : 878.49 = 496.23 : x
  2. Step 2: Convert to fraction form
    635.76/878.49 = 496.23/x
  3. Step 3: Cross multiply
    635.76x = 878.49 × 496.23
  4. Step 4: Simplify right side
    635.76x = 435,933.09
  5. Step 5: Solve for x
    x = 435,933.09/635.76
  6. Step 6: Final answer
    x = 685.69

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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.