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Finding the Fourth Proportional to 734.50, 1,100.11 and 409.14

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Solution

The fourth proportional to 734.50, 1,100.11 and 409.14 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.50 : 1,100.11 = 409.14 : x
  2. Step 2: Convert to fraction form
    734.50/1,100.11 = 409.14/x
  3. Step 3: Cross multiply
    734.50x = 1,100.11 × 409.14
  4. Step 4: Simplify right side
    734.50x = 450,099.01
  5. Step 5: Solve for x
    x = 450,099.01/734.50
  6. Step 6: Final answer
    x = 612.80

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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.