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Finding the Fourth Proportional to 808.73, 1,213.43 and 579.09

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Solution

The fourth proportional to 808.73, 1,213.43 and 579.09 is: 868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.73 : 1,213.43 = 579.09 : x
  2. Step 2: Convert to fraction form
    808.73/1,213.43 = 579.09/x
  3. Step 3: Cross multiply
    808.73x = 1,213.43 × 579.09
  4. Step 4: Simplify right side
    808.73x = 702,682.28
  5. Step 5: Solve for x
    x = 702,682.28/808.73
  6. Step 6: Final answer
    x = 868.88

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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.