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Finding the Fourth Proportional to 884.21, 1,323.20 and 726.19

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Solution

The fourth proportional to 884.21, 1,323.20 and 726.19 is: 1,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.21 : 1,323.20 = 726.19 : x
  2. Step 2: Convert to fraction form
    884.21/1,323.20 = 726.19/x
  3. Step 3: Cross multiply
    884.21x = 1,323.20 × 726.19
  4. Step 4: Simplify right side
    884.21x = 960,893.12
  5. Step 5: Solve for x
    x = 960,893.12/884.21
  6. Step 6: Final answer
    x = 1,086.73

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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.