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Finding the Fourth Proportional to 867.11, 1,197.41 and 632.42

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Solution

The fourth proportional to 867.11, 1,197.41 and 632.42 is: 873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.11 : 1,197.41 = 632.42 : x
  2. Step 2: Convert to fraction form
    867.11/1,197.41 = 632.42/x
  3. Step 3: Cross multiply
    867.11x = 1,197.41 × 632.42
  4. Step 4: Simplify right side
    867.11x = 757,256.88
  5. Step 5: Solve for x
    x = 757,256.88/867.11
  6. Step 6: Final answer
    x = 873.31

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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.