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Finding the Fourth Proportional to 991.22, 1,487.81 and 827.74

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Solution

The fourth proportional to 991.22, 1,487.81 and 827.74 is: 1,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.22 : 1,487.81 = 827.74 : x
  2. Step 2: Convert to fraction form
    991.22/1,487.81 = 827.74/x
  3. Step 3: Cross multiply
    991.22x = 1,487.81 × 827.74
  4. Step 4: Simplify right side
    991.22x = 1,231,511.99
  5. Step 5: Solve for x
    x = 1,231,511.99/991.22
  6. Step 6: Final answer
    x = 1,242.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.