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Finding the Fourth Proportional to 635.82, 878.29 and 497.69

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Solution

The fourth proportional to 635.82, 878.29 and 497.69 is: 687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.82 : 878.29 = 497.69 : x
  2. Step 2: Convert to fraction form
    635.82/878.29 = 497.69/x
  3. Step 3: Cross multiply
    635.82x = 878.29 × 497.69
  4. Step 4: Simplify right side
    635.82x = 437,121.55
  5. Step 5: Solve for x
    x = 437,121.55/635.82
  6. Step 6: Final answer
    x = 687.49

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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.