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Finding the Fourth Proportional to 798.54, 1,197.33 and 329.87

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Solution

The fourth proportional to 798.54, 1,197.33 and 329.87 is: 494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,197.33 = 329.87 : x
  2. Step 2: Convert to fraction form
    798.54/1,197.33 = 329.87/x
  3. Step 3: Cross multiply
    798.54x = 1,197.33 × 329.87
  4. Step 4: Simplify right side
    798.54x = 394,963.25
  5. Step 5: Solve for x
    x = 394,963.25/798.54
  6. Step 6: Final answer
    x = 494.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.