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Finding the Fourth Proportional to 426.82, 635.94 and 398.88

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Solution

The fourth proportional to 426.82, 635.94 and 398.88 is: 594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.82 : 635.94 = 398.88 : x
  2. Step 2: Convert to fraction form
    426.82/635.94 = 398.88/x
  3. Step 3: Cross multiply
    426.82x = 635.94 × 398.88
  4. Step 4: Simplify right side
    426.82x = 253,663.75
  5. Step 5: Solve for x
    x = 253,663.75/426.82
  6. Step 6: Final answer
    x = 594.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.