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Finding the Fourth Proportional to 819.06, 1,129.80 and 622.23

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Solution

The fourth proportional to 819.06, 1,129.80 and 622.23 is: 858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.06 : 1,129.80 = 622.23 : x
  2. Step 2: Convert to fraction form
    819.06/1,129.80 = 622.23/x
  3. Step 3: Cross multiply
    819.06x = 1,129.80 × 622.23
  4. Step 4: Simplify right side
    819.06x = 702,995.45
  5. Step 5: Solve for x
    x = 702,995.45/819.06
  6. Step 6: Final answer
    x = 858.30

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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.