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Finding the Fourth Proportional to 1,226.42, 1,839.78 and 405.22

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Solution

The fourth proportional to 1,226.42, 1,839.78 and 405.22 is: 607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.42 : 1,839.78 = 405.22 : x
  2. Step 2: Convert to fraction form
    1,226.42/1,839.78 = 405.22/x
  3. Step 3: Cross multiply
    1,226.42x = 1,839.78 × 405.22
  4. Step 4: Simplify right side
    1,226.42x = 745,515.65
  5. Step 5: Solve for x
    x = 745,515.65/1,226.42
  6. Step 6: Final answer
    x = 607.88

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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.