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Finding the Fourth Proportional to 866.16, 1,196.83 and 755.44

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Solution

The fourth proportional to 866.16, 1,196.83 and 755.44 is: 1,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.16 : 1,196.83 = 755.44 : x
  2. Step 2: Convert to fraction form
    866.16/1,196.83 = 755.44/x
  3. Step 3: Cross multiply
    866.16x = 1,196.83 × 755.44
  4. Step 4: Simplify right side
    866.16x = 904,133.69
  5. Step 5: Solve for x
    x = 904,133.69/866.16
  6. Step 6: Final answer
    x = 1,043.84

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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.