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Finding the Fourth Proportional to 1,270.09, 1,751.73 and 850.31

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Solution

The fourth proportional to 1,270.09, 1,751.73 and 850.31 is: 1,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.09 : 1,751.73 = 850.31 : x
  2. Step 2: Convert to fraction form
    1,270.09/1,751.73 = 850.31/x
  3. Step 3: Cross multiply
    1,270.09x = 1,751.73 × 850.31
  4. Step 4: Simplify right side
    1,270.09x = 1,489,504.78
  5. Step 5: Solve for x
    x = 1,489,504.78/1,270.09
  6. Step 6: Final answer
    x = 1,172.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.