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Finding the Fourth Proportional to 959.91, 1,323.37 and 819.44

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Solution

The fourth proportional to 959.91, 1,323.37 and 819.44 is: 1,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.91 : 1,323.37 = 819.44 : x
  2. Step 2: Convert to fraction form
    959.91/1,323.37 = 819.44/x
  3. Step 3: Cross multiply
    959.91x = 1,323.37 × 819.44
  4. Step 4: Simplify right side
    959.91x = 1,084,422.31
  5. Step 5: Solve for x
    x = 1,084,422.31/959.91
  6. Step 6: Final answer
    x = 1,129.71

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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.