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Finding the Fourth Proportional to 997.92, 1,383.48 and 962.28

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Solution

The fourth proportional to 997.92, 1,383.48 and 962.28 is: 1,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,383.48 = 962.28 : x
  2. Step 2: Convert to fraction form
    997.92/1,383.48 = 962.28/x
  3. Step 3: Cross multiply
    997.92x = 1,383.48 × 962.28
  4. Step 4: Simplify right side
    997.92x = 1,331,295.13
  5. Step 5: Solve for x
    x = 1,331,295.13/997.92
  6. Step 6: Final answer
    x = 1,334.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.