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Finding the Fourth Proportional to 1,205.44, 1,806.68 and 685.88

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Solution

The fourth proportional to 1,205.44, 1,806.68 and 685.88 is: 1,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.44 : 1,806.68 = 685.88 : x
  2. Step 2: Convert to fraction form
    1,205.44/1,806.68 = 685.88/x
  3. Step 3: Cross multiply
    1,205.44x = 1,806.68 × 685.88
  4. Step 4: Simplify right side
    1,205.44x = 1,239,156.65
  5. Step 5: Solve for x
    x = 1,239,156.65/1,205.44
  6. Step 6: Final answer
    x = 1,027.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.