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Finding the Fourth Proportional to 799.23, 1,101.99 and 519.38

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Solution

The fourth proportional to 799.23, 1,101.99 and 519.38 is: 716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.23 : 1,101.99 = 519.38 : x
  2. Step 2: Convert to fraction form
    799.23/1,101.99 = 519.38/x
  3. Step 3: Cross multiply
    799.23x = 1,101.99 × 519.38
  4. Step 4: Simplify right side
    799.23x = 572,351.57
  5. Step 5: Solve for x
    x = 572,351.57/799.23
  6. Step 6: Final answer
    x = 716.13

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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.