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Finding the Fourth Proportional to 1,266.73, 1,900.07 and 401.05

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Solution

The fourth proportional to 1,266.73, 1,900.07 and 401.05 is: 601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.73 : 1,900.07 = 401.05 : x
  2. Step 2: Convert to fraction form
    1,266.73/1,900.07 = 401.05/x
  3. Step 3: Cross multiply
    1,266.73x = 1,900.07 × 401.05
  4. Step 4: Simplify right side
    1,266.73x = 762,013.57
  5. Step 5: Solve for x
    x = 762,013.57/1,266.73
  6. Step 6: Final answer
    x = 601.56

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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.