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Finding the Fourth Proportional to 734.53, 1,102.20 and 409.72

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Solution

The fourth proportional to 734.53, 1,102.20 and 409.72 is: 614.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.53 : 1,102.20 = 409.72 : x
  2. Step 2: Convert to fraction form
    734.53/1,102.20 = 409.72/x
  3. Step 3: Cross multiply
    734.53x = 1,102.20 × 409.72
  4. Step 4: Simplify right side
    734.53x = 451,593.38
  5. Step 5: Solve for x
    x = 451,593.38/734.53
  6. Step 6: Final answer
    x = 614.81

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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.