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Finding the Fourth Proportional to 819.29, 1,226.09 and 671.33

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Solution

The fourth proportional to 819.29, 1,226.09 and 671.33 is: 1,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.29 : 1,226.09 = 671.33 : x
  2. Step 2: Convert to fraction form
    819.29/1,226.09 = 671.33/x
  3. Step 3: Cross multiply
    819.29x = 1,226.09 × 671.33
  4. Step 4: Simplify right side
    819.29x = 823,101.51
  5. Step 5: Solve for x
    x = 823,101.51/819.29
  6. Step 6: Final answer
    x = 1,004.66

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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.