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Finding the Fourth Proportional to 997.41, 1,493.79 and 962.80

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Solution

The fourth proportional to 997.41, 1,493.79 and 962.80 is: 1,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.41 : 1,493.79 = 962.80 : x
  2. Step 2: Convert to fraction form
    997.41/1,493.79 = 962.80/x
  3. Step 3: Cross multiply
    997.41x = 1,493.79 × 962.80
  4. Step 4: Simplify right side
    997.41x = 1,438,221.01
  5. Step 5: Solve for x
    x = 1,438,221.01/997.41
  6. Step 6: Final answer
    x = 1,441.96

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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.