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Finding the Fourth Proportional to 743.96, 1,112.65 and 662.27

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Solution

The fourth proportional to 743.96, 1,112.65 and 662.27 is: 990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.96 : 1,112.65 = 662.27 : x
  2. Step 2: Convert to fraction form
    743.96/1,112.65 = 662.27/x
  3. Step 3: Cross multiply
    743.96x = 1,112.65 × 662.27
  4. Step 4: Simplify right side
    743.96x = 736,874.72
  5. Step 5: Solve for x
    x = 736,874.72/743.96
  6. Step 6: Final answer
    x = 990.48

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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.