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Finding the Fourth Proportional to 635.82, 877.86 and 426.31

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Solution

The fourth proportional to 635.82, 877.86 and 426.31 is: 588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.82 : 877.86 = 426.31 : x
  2. Step 2: Convert to fraction form
    635.82/877.86 = 426.31/x
  3. Step 3: Cross multiply
    635.82x = 877.86 × 426.31
  4. Step 4: Simplify right side
    635.82x = 374,238.30
  5. Step 5: Solve for x
    x = 374,238.30/635.82
  6. Step 6: Final answer
    x = 588.59

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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.