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Finding the Fourth Proportional to 819.48, 1,122.27 and 808.68

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Solution

The fourth proportional to 819.48, 1,122.27 and 808.68 is: 1,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.48 : 1,122.27 = 808.68 : x
  2. Step 2: Convert to fraction form
    819.48/1,122.27 = 808.68/x
  3. Step 3: Cross multiply
    819.48x = 1,122.27 × 808.68
  4. Step 4: Simplify right side
    819.48x = 907,557.30
  5. Step 5: Solve for x
    x = 907,557.30/819.48
  6. Step 6: Final answer
    x = 1,107.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.