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Finding the Fourth Proportional to 809.33, 1,116.30 and 797.18

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Solution

The fourth proportional to 809.33, 1,116.30 and 797.18 is: 1,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.33 : 1,116.30 = 797.18 : x
  2. Step 2: Convert to fraction form
    809.33/1,116.30 = 797.18/x
  3. Step 3: Cross multiply
    809.33x = 1,116.30 × 797.18
  4. Step 4: Simplify right side
    809.33x = 889,894.82
  5. Step 5: Solve for x
    x = 889,894.82/809.33
  6. Step 6: Final answer
    x = 1,099.54

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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.