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Finding the Fourth Proportional to 641.82, 963.34 and 398.82

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Solution

The fourth proportional to 641.82, 963.34 and 398.82 is: 598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.82 : 963.34 = 398.82 : x
  2. Step 2: Convert to fraction form
    641.82/963.34 = 398.82/x
  3. Step 3: Cross multiply
    641.82x = 963.34 × 398.82
  4. Step 4: Simplify right side
    641.82x = 384,199.26
  5. Step 5: Solve for x
    x = 384,199.26/641.82
  6. Step 6: Final answer
    x = 598.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.