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Finding the Fourth Proportional to 734.62, 1,100.50 and 409.00

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Solution

The fourth proportional to 734.62, 1,100.50 and 409.00 is: 612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.62 : 1,100.50 = 409.00 : x
  2. Step 2: Convert to fraction form
    734.62/1,100.50 = 409.00/x
  3. Step 3: Cross multiply
    734.62x = 1,100.50 × 409.00
  4. Step 4: Simplify right side
    734.62x = 450,105.09
  5. Step 5: Solve for x
    x = 450,105.09/734.62
  6. Step 6: Final answer
    x = 612.71

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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.