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Finding the Fourth Proportional to 809.69, 1,124.92 and 799.97

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Solution

The fourth proportional to 809.69, 1,124.92 and 799.97 is: 1,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.69 : 1,124.92 = 799.97 : x
  2. Step 2: Convert to fraction form
    809.69/1,124.92 = 799.97/x
  3. Step 3: Cross multiply
    809.69x = 1,124.92 × 799.97
  4. Step 4: Simplify right side
    809.69x = 899,898.25
  5. Step 5: Solve for x
    x = 899,898.25/809.69
  6. Step 6: Final answer
    x = 1,111.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.