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Finding the Fourth Proportional to 1,236.84, 1,706.86 and 764.64

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Solution

The fourth proportional to 1,236.84, 1,706.86 and 764.64 is: 1,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.84 : 1,706.86 = 764.64 : x
  2. Step 2: Convert to fraction form
    1,236.84/1,706.86 = 764.64/x
  3. Step 3: Cross multiply
    1,236.84x = 1,706.86 × 764.64
  4. Step 4: Simplify right side
    1,236.84x = 1,305,136.54
  5. Step 5: Solve for x
    x = 1,305,136.54/1,236.84
  6. Step 6: Final answer
    x = 1,055.21

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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.