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Finding the Fourth Proportional to 991.59, 1,367.82 and 642.27

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Solution

The fourth proportional to 991.59, 1,367.82 and 642.27 is: 885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.59 : 1,367.82 = 642.27 : x
  2. Step 2: Convert to fraction form
    991.59/1,367.82 = 642.27/x
  3. Step 3: Cross multiply
    991.59x = 1,367.82 × 642.27
  4. Step 4: Simplify right side
    991.59x = 878,509.75
  5. Step 5: Solve for x
    x = 878,509.75/991.59
  6. Step 6: Final answer
    x = 885.96

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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.