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Finding the Fourth Proportional to 792.82, 1,189.94 and 382.10

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Solution

The fourth proportional to 792.82, 1,189.94 and 382.10 is: 573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.82 : 1,189.94 = 382.10 : x
  2. Step 2: Convert to fraction form
    792.82/1,189.94 = 382.10/x
  3. Step 3: Cross multiply
    792.82x = 1,189.94 × 382.10
  4. Step 4: Simplify right side
    792.82x = 454,677.06
  5. Step 5: Solve for x
    x = 454,677.06/792.82
  6. Step 6: Final answer
    x = 573.49

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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.