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Finding the Fourth Proportional to 1,226.82, 1,839.87 and 405.03

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Solution

The fourth proportional to 1,226.82, 1,839.87 and 405.03 is: 607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.82 : 1,839.87 = 405.03 : x
  2. Step 2: Convert to fraction form
    1,226.82/1,839.87 = 405.03/x
  3. Step 3: Cross multiply
    1,226.82x = 1,839.87 × 405.03
  4. Step 4: Simplify right side
    1,226.82x = 745,202.55
  5. Step 5: Solve for x
    x = 745,202.55/1,226.82
  6. Step 6: Final answer
    x = 607.43

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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.