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Finding the Fourth Proportional to 641.70, 962.62 and 422.39

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Solution

The fourth proportional to 641.70, 962.62 and 422.39 is: 633.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.70 : 962.62 = 422.39 : x
  2. Step 2: Convert to fraction form
    641.70/962.62 = 422.39/x
  3. Step 3: Cross multiply
    641.70x = 962.62 × 422.39
  4. Step 4: Simplify right side
    641.70x = 406,602.41
  5. Step 5: Solve for x
    x = 406,602.41/641.70
  6. Step 6: Final answer
    x = 633.63

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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.