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Finding the Fourth Proportional to 1,896.42, 2,844.94 and 664.20

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Solution

The fourth proportional to 1,896.42, 2,844.94 and 664.20 is: 996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.42 : 2,844.94 = 664.20 : x
  2. Step 2: Convert to fraction form
    1,896.42/2,844.94 = 664.20/x
  3. Step 3: Cross multiply
    1,896.42x = 2,844.94 × 664.20
  4. Step 4: Simplify right side
    1,896.42x = 1,889,609.15
  5. Step 5: Solve for x
    x = 1,889,609.15/1,896.42
  6. Step 6: Final answer
    x = 996.41

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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.