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Finding the Fourth Proportional to 1,814.25, 2,722.46 and 660.09

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Solution

The fourth proportional to 1,814.25, 2,722.46 and 660.09 is: 990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.25 : 2,722.46 = 660.09 : x
  2. Step 2: Convert to fraction form
    1,814.25/2,722.46 = 660.09/x
  3. Step 3: Cross multiply
    1,814.25x = 2,722.46 × 660.09
  4. Step 4: Simplify right side
    1,814.25x = 1,797,065.32
  5. Step 5: Solve for x
    x = 1,797,065.32/1,814.25
  6. Step 6: Final answer
    x = 990.53

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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.