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Finding the Fourth Proportional to 819.52, 1,229.58 and 808.58

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Solution

The fourth proportional to 819.52, 1,229.58 and 808.58 is: 1,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.52 : 1,229.58 = 808.58 : x
  2. Step 2: Convert to fraction form
    819.52/1,229.58 = 808.58/x
  3. Step 3: Cross multiply
    819.52x = 1,229.58 × 808.58
  4. Step 4: Simplify right side
    819.52x = 994,216.87
  5. Step 5: Solve for x
    x = 994,216.87/819.52
  6. Step 6: Final answer
    x = 1,213.17

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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.