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Finding the Fourth Proportional to 641.82, 962.76 and 423.84

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Solution

The fourth proportional to 641.82, 962.76 and 423.84 is: 635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.82 : 962.76 = 423.84 : x
  2. Step 2: Convert to fraction form
    641.82/962.76 = 423.84/x
  3. Step 3: Cross multiply
    641.82x = 962.76 × 423.84
  4. Step 4: Simplify right side
    641.82x = 408,056.20
  5. Step 5: Solve for x
    x = 408,056.20/641.82
  6. Step 6: Final answer
    x = 635.78

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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.