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Finding the Fourth Proportional to 734.27, 1,100.99 and 323.19

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Solution

The fourth proportional to 734.27, 1,100.99 and 323.19 is: 484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.27 : 1,100.99 = 323.19 : x
  2. Step 2: Convert to fraction form
    734.27/1,100.99 = 323.19/x
  3. Step 3: Cross multiply
    734.27x = 1,100.99 × 323.19
  4. Step 4: Simplify right side
    734.27x = 355,829.77
  5. Step 5: Solve for x
    x = 355,829.77/734.27
  6. Step 6: Final answer
    x = 484.61

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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.