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Finding the Fourth Proportional to 819.07, 1,227.93 and 773.23

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Solution

The fourth proportional to 819.07, 1,227.93 and 773.23 is: 1,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.07 : 1,227.93 = 773.23 : x
  2. Step 2: Convert to fraction form
    819.07/1,227.93 = 773.23/x
  3. Step 3: Cross multiply
    819.07x = 1,227.93 × 773.23
  4. Step 4: Simplify right side
    819.07x = 949,466.17
  5. Step 5: Solve for x
    x = 949,466.17/819.07
  6. Step 6: Final answer
    x = 1,159.21

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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.