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Finding the Fourth Proportional to 1,244.44, 1,865.94 and 757.81

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Solution

The fourth proportional to 1,244.44, 1,865.94 and 757.81 is: 1,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.44 : 1,865.94 = 757.81 : x
  2. Step 2: Convert to fraction form
    1,244.44/1,865.94 = 757.81/x
  3. Step 3: Cross multiply
    1,244.44x = 1,865.94 × 757.81
  4. Step 4: Simplify right side
    1,244.44x = 1,414,027.99
  5. Step 5: Solve for x
    x = 1,414,027.99/1,244.44
  6. Step 6: Final answer
    x = 1,136.28

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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.