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Finding the Fourth Proportional to 866.21, 1,195.78 and 656.42

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Solution

The fourth proportional to 866.21, 1,195.78 and 656.42 is: 906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.21 : 1,195.78 = 656.42 : x
  2. Step 2: Convert to fraction form
    866.21/1,195.78 = 656.42/x
  3. Step 3: Cross multiply
    866.21x = 1,195.78 × 656.42
  4. Step 4: Simplify right side
    866.21x = 784,933.91
  5. Step 5: Solve for x
    x = 784,933.91/866.21
  6. Step 6: Final answer
    x = 906.17

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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.