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Finding the Fourth Proportional to 798.58, 1,095.42 and 791.65

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Solution

The fourth proportional to 798.58, 1,095.42 and 791.65 is: 1,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.58 : 1,095.42 = 791.65 : x
  2. Step 2: Convert to fraction form
    798.58/1,095.42 = 791.65/x
  3. Step 3: Cross multiply
    798.58x = 1,095.42 × 791.65
  4. Step 4: Simplify right side
    798.58x = 867,189.24
  5. Step 5: Solve for x
    x = 867,189.24/798.58
  6. Step 6: Final answer
    x = 1,085.91

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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.