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Finding the Fourth Proportional to 792.25, 1,188.34 and 329.90

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Solution

The fourth proportional to 792.25, 1,188.34 and 329.90 is: 494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.25 : 1,188.34 = 329.90 : x
  2. Step 2: Convert to fraction form
    792.25/1,188.34 = 329.90/x
  3. Step 3: Cross multiply
    792.25x = 1,188.34 × 329.90
  4. Step 4: Simplify right side
    792.25x = 392,026.60
  5. Step 5: Solve for x
    x = 392,026.60/792.25
  6. Step 6: Final answer
    x = 494.83

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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.