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Finding the Fourth Proportional to 1,236.89, 1,706.94 and 764.87

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Solution

The fourth proportional to 1,236.89, 1,706.94 and 764.87 is: 1,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.89 : 1,706.94 = 764.87 : x
  2. Step 2: Convert to fraction form
    1,236.89/1,706.94 = 764.87/x
  3. Step 3: Cross multiply
    1,236.89x = 1,706.94 × 764.87
  4. Step 4: Simplify right side
    1,236.89x = 1,305,578.66
  5. Step 5: Solve for x
    x = 1,305,578.66/1,236.89
  6. Step 6: Final answer
    x = 1,055.53

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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.