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Finding the Fourth Proportional to 743.27, 1,113.75 and 665.81

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Solution

The fourth proportional to 743.27, 1,113.75 and 665.81 is: 997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.27 : 1,113.75 = 665.81 : x
  2. Step 2: Convert to fraction form
    743.27/1,113.75 = 665.81/x
  3. Step 3: Cross multiply
    743.27x = 1,113.75 × 665.81
  4. Step 4: Simplify right side
    743.27x = 741,545.89
  5. Step 5: Solve for x
    x = 741,545.89/743.27
  6. Step 6: Final answer
    x = 997.68

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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.