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Finding the Fourth Proportional to 1,228.12, 1,694.81 and 668.59

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Solution

The fourth proportional to 1,228.12, 1,694.81 and 668.59 is: 922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.12 : 1,694.81 = 668.59 : x
  2. Step 2: Convert to fraction form
    1,228.12/1,694.81 = 668.59/x
  3. Step 3: Cross multiply
    1,228.12x = 1,694.81 × 668.59
  4. Step 4: Simplify right side
    1,228.12x = 1,133,121.20
  5. Step 5: Solve for x
    x = 1,133,121.20/1,228.12
  6. Step 6: Final answer
    x = 922.65

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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.