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Finding the Fourth Proportional to 1,236.57, 1,855.99 and 775.17

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Solution

The fourth proportional to 1,236.57, 1,855.99 and 775.17 is: 1,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.57 : 1,855.99 = 775.17 : x
  2. Step 2: Convert to fraction form
    1,236.57/1,855.99 = 775.17/x
  3. Step 3: Cross multiply
    1,236.57x = 1,855.99 × 775.17
  4. Step 4: Simplify right side
    1,236.57x = 1,438,706.56
  5. Step 5: Solve for x
    x = 1,438,706.56/1,236.57
  6. Step 6: Final answer
    x = 1,163.47

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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.