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Finding the Fourth Proportional to 792.18, 1,190.09 and 759.38

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Solution

The fourth proportional to 792.18, 1,190.09 and 759.38 is: 1,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.18 : 1,190.09 = 759.38 : x
  2. Step 2: Convert to fraction form
    792.18/1,190.09 = 759.38/x
  3. Step 3: Cross multiply
    792.18x = 1,190.09 × 759.38
  4. Step 4: Simplify right side
    792.18x = 903,726.49
  5. Step 5: Solve for x
    x = 903,726.49/792.18
  6. Step 6: Final answer
    x = 1,140.81

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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.