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Finding the Fourth Proportional to 1,227.45, 1,693.90 and 667.92

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Solution

The fourth proportional to 1,227.45, 1,693.90 and 667.92 is: 921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.45 : 1,693.90 = 667.92 : x
  2. Step 2: Convert to fraction form
    1,227.45/1,693.90 = 667.92/x
  3. Step 3: Cross multiply
    1,227.45x = 1,693.90 × 667.92
  4. Step 4: Simplify right side
    1,227.45x = 1,131,396.88
  5. Step 5: Solve for x
    x = 1,131,396.88/1,227.45
  6. Step 6: Final answer
    x = 921.74

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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.