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Finding the Fourth Proportional to 1,233.21, 1,850.13 and 411.72

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Solution

The fourth proportional to 1,233.21, 1,850.13 and 411.72 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.21 : 1,850.13 = 411.72 : x
  2. Step 2: Convert to fraction form
    1,233.21/1,850.13 = 411.72/x
  3. Step 3: Cross multiply
    1,233.21x = 1,850.13 × 411.72
  4. Step 4: Simplify right side
    1,233.21x = 761,735.52
  5. Step 5: Solve for x
    x = 761,735.52/1,233.21
  6. Step 6: Final answer
    x = 617.69

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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.