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Finding the Fourth Proportional to 989.27, 1,481.77 and 468.49

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Solution

The fourth proportional to 989.27, 1,481.77 and 468.49 is: 701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.27 : 1,481.77 = 468.49 : x
  2. Step 2: Convert to fraction form
    989.27/1,481.77 = 468.49/x
  3. Step 3: Cross multiply
    989.27x = 1,481.77 × 468.49
  4. Step 4: Simplify right side
    989.27x = 694,194.43
  5. Step 5: Solve for x
    x = 694,194.43/989.27
  6. Step 6: Final answer
    x = 701.72

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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.