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Finding the Fourth Proportional to 1,374.38, 1,896.63 and 744.91

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Solution

The fourth proportional to 1,374.38, 1,896.63 and 744.91 is: 1,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.38 : 1,896.63 = 744.91 : x
  2. Step 2: Convert to fraction form
    1,374.38/1,896.63 = 744.91/x
  3. Step 3: Cross multiply
    1,374.38x = 1,896.63 × 744.91
  4. Step 4: Simplify right side
    1,374.38x = 1,412,817.40
  5. Step 5: Solve for x
    x = 1,412,817.40/1,374.38
  6. Step 6: Final answer
    x = 1,027.97

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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.