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Finding the Fourth Proportional to 1,227.87, 1,694.37 and 668.33

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Solution

The fourth proportional to 1,227.87, 1,694.37 and 668.33 is: 922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.87 : 1,694.37 = 668.33 : x
  2. Step 2: Convert to fraction form
    1,227.87/1,694.37 = 668.33/x
  3. Step 3: Cross multiply
    1,227.87x = 1,694.37 × 668.33
  4. Step 4: Simplify right side
    1,227.87x = 1,132,398.30
  5. Step 5: Solve for x
    x = 1,132,398.30/1,227.87
  6. Step 6: Final answer
    x = 922.25

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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.