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Finding the Fourth Proportional to 991.94, 1,369.32 and 867.74

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Solution

The fourth proportional to 991.94, 1,369.32 and 867.74 is: 1,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.94 : 1,369.32 = 867.74 : x
  2. Step 2: Convert to fraction form
    991.94/1,369.32 = 867.74/x
  3. Step 3: Cross multiply
    991.94x = 1,369.32 × 867.74
  4. Step 4: Simplify right side
    991.94x = 1,188,213.74
  5. Step 5: Solve for x
    x = 1,188,213.74/991.94
  6. Step 6: Final answer
    x = 1,197.87

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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.