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Finding the Fourth Proportional to 809.82, 1,112.58 and 779.31

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Solution

The fourth proportional to 809.82, 1,112.58 and 779.31 is: 1,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.82 : 1,112.58 = 779.31 : x
  2. Step 2: Convert to fraction form
    809.82/1,112.58 = 779.31/x
  3. Step 3: Cross multiply
    809.82x = 1,112.58 × 779.31
  4. Step 4: Simplify right side
    809.82x = 867,044.72
  5. Step 5: Solve for x
    x = 867,044.72/809.82
  6. Step 6: Final answer
    x = 1,070.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.