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Finding the Fourth Proportional to 1,228.44, 1,695.19 and 668.91

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Solution

The fourth proportional to 1,228.44, 1,695.19 and 668.91 is: 923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.44 : 1,695.19 = 668.91 : x
  2. Step 2: Convert to fraction form
    1,228.44/1,695.19 = 668.91/x
  3. Step 3: Cross multiply
    1,228.44x = 1,695.19 × 668.91
  4. Step 4: Simplify right side
    1,228.44x = 1,133,933.33
  5. Step 5: Solve for x
    x = 1,133,933.33/1,228.44
  6. Step 6: Final answer
    x = 923.07

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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.