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Finding the Fourth Proportional to 1,270.75, 1,906.49 and 405.09

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Solution

The fourth proportional to 1,270.75, 1,906.49 and 405.09 is: 607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.75 : 1,906.49 = 405.09 : x
  2. Step 2: Convert to fraction form
    1,270.75/1,906.49 = 405.09/x
  3. Step 3: Cross multiply
    1,270.75x = 1,906.49 × 405.09
  4. Step 4: Simplify right side
    1,270.75x = 772,300.03
  5. Step 5: Solve for x
    x = 772,300.03/1,270.75
  6. Step 6: Final answer
    x = 607.75

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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.