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Finding the Fourth Proportional to 1,270.73, 1,905.99 and 448.97

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Solution

The fourth proportional to 1,270.73, 1,905.99 and 448.97 is: 673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.73 : 1,905.99 = 448.97 : x
  2. Step 2: Convert to fraction form
    1,270.73/1,905.99 = 448.97/x
  3. Step 3: Cross multiply
    1,270.73x = 1,905.99 × 448.97
  4. Step 4: Simplify right side
    1,270.73x = 855,721.12
  5. Step 5: Solve for x
    x = 855,721.12/1,270.73
  6. Step 6: Final answer
    x = 673.41

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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.