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Finding the Fourth Proportional to 991.12, 1,367.88 and 887.44

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Solution

The fourth proportional to 991.12, 1,367.88 and 887.44 is: 1,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.12 : 1,367.88 = 887.44 : x
  2. Step 2: Convert to fraction form
    991.12/1,367.88 = 887.44/x
  3. Step 3: Cross multiply
    991.12x = 1,367.88 × 887.44
  4. Step 4: Simplify right side
    991.12x = 1,213,911.43
  5. Step 5: Solve for x
    x = 1,213,911.43/991.12
  6. Step 6: Final answer
    x = 1,224.79

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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.