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Finding the Fourth Proportional to 1,227.93, 1,694.52 and 668.39

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Solution

The fourth proportional to 1,227.93, 1,694.52 and 668.39 is: 922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.93 : 1,694.52 = 668.39 : x
  2. Step 2: Convert to fraction form
    1,227.93/1,694.52 = 668.39/x
  3. Step 3: Cross multiply
    1,227.93x = 1,694.52 × 668.39
  4. Step 4: Simplify right side
    1,227.93x = 1,132,600.22
  5. Step 5: Solve for x
    x = 1,132,600.22/1,227.93
  6. Step 6: Final answer
    x = 922.37

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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.