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Finding the Fourth Proportional to 1,233.90, 1,850.78 and 412.09

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Solution

The fourth proportional to 1,233.90, 1,850.78 and 412.09 is: 618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.90 : 1,850.78 = 412.09 : x
  2. Step 2: Convert to fraction form
    1,233.90/1,850.78 = 412.09/x
  3. Step 3: Cross multiply
    1,233.90x = 1,850.78 × 412.09
  4. Step 4: Simplify right side
    1,233.90x = 762,684.33
  5. Step 5: Solve for x
    x = 762,684.33/1,233.90
  6. Step 6: Final answer
    x = 618.11

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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.