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Finding the Fourth Proportional to 867.56, 1,198.22 and 632.55

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Solution

The fourth proportional to 867.56, 1,198.22 and 632.55 is: 873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.56 : 1,198.22 = 632.55 : x
  2. Step 2: Convert to fraction form
    867.56/1,198.22 = 632.55/x
  3. Step 3: Cross multiply
    867.56x = 1,198.22 × 632.55
  4. Step 4: Simplify right side
    867.56x = 757,930.90
  5. Step 5: Solve for x
    x = 757,930.90/867.56
  6. Step 6: Final answer
    x = 873.64

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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.