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Finding the Fourth Proportional to 844.88, 1,164.36 and 819.92

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Solution

The fourth proportional to 844.88, 1,164.36 and 819.92 is: 1,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.88 : 1,164.36 = 819.92 : x
  2. Step 2: Convert to fraction form
    844.88/1,164.36 = 819.92/x
  3. Step 3: Cross multiply
    844.88x = 1,164.36 × 819.92
  4. Step 4: Simplify right side
    844.88x = 954,682.05
  5. Step 5: Solve for x
    x = 954,682.05/844.88
  6. Step 6: Final answer
    x = 1,129.96

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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.