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Finding the Fourth Proportional to 734.62, 1,102.02 and 273.04

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Solution

The fourth proportional to 734.62, 1,102.02 and 273.04 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.62 : 1,102.02 = 273.04 : x
  2. Step 2: Convert to fraction form
    734.62/1,102.02 = 273.04/x
  3. Step 3: Cross multiply
    734.62x = 1,102.02 × 273.04
  4. Step 4: Simplify right side
    734.62x = 300,895.54
  5. Step 5: Solve for x
    x = 300,895.54/734.62
  6. Step 6: Final answer
    x = 409.59

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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.