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Finding the Fourth Proportional to 1,427.43, 2,141.48 and 605.73

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Solution

The fourth proportional to 1,427.43, 2,141.48 and 605.73 is: 908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.43 : 2,141.48 = 605.73 : x
  2. Step 2: Convert to fraction form
    1,427.43/2,141.48 = 605.73/x
  3. Step 3: Cross multiply
    1,427.43x = 2,141.48 × 605.73
  4. Step 4: Simplify right side
    1,427.43x = 1,297,155.65
  5. Step 5: Solve for x
    x = 1,297,155.65/1,427.43
  6. Step 6: Final answer
    x = 908.74

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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.