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Finding the Fourth Proportional to 792.97, 1,189.62 and 382.61

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Solution

The fourth proportional to 792.97, 1,189.62 and 382.61 is: 573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.97 : 1,189.62 = 382.61 : x
  2. Step 2: Convert to fraction form
    792.97/1,189.62 = 382.61/x
  3. Step 3: Cross multiply
    792.97x = 1,189.62 × 382.61
  4. Step 4: Simplify right side
    792.97x = 455,156.79
  5. Step 5: Solve for x
    x = 455,156.79/792.97
  6. Step 6: Final answer
    x = 573.99

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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.