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Finding the Fourth Proportional to 866.42, 1,195.22 and 656.63

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Solution

The fourth proportional to 866.42, 1,195.22 and 656.63 is: 905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.42 : 1,195.22 = 656.63 : x
  2. Step 2: Convert to fraction form
    866.42/1,195.22 = 656.63/x
  3. Step 3: Cross multiply
    866.42x = 1,195.22 × 656.63
  4. Step 4: Simplify right side
    866.42x = 784,817.31
  5. Step 5: Solve for x
    x = 784,817.31/866.42
  6. Step 6: Final answer
    x = 905.82

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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.