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Finding the Fourth Proportional to 1,233.49, 1,849.62 and 411.48

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Solution

The fourth proportional to 1,233.49, 1,849.62 and 411.48 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.49 : 1,849.62 = 411.48 : x
  2. Step 2: Convert to fraction form
    1,233.49/1,849.62 = 411.48/x
  3. Step 3: Cross multiply
    1,233.49x = 1,849.62 × 411.48
  4. Step 4: Simplify right side
    1,233.49x = 761,072.39
  5. Step 5: Solve for x
    x = 761,072.39/1,233.49
  6. Step 6: Final answer
    x = 617.01

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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.