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Finding the Fourth Proportional to 792.05, 1,091.99 and 511.79

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Solution

The fourth proportional to 792.05, 1,091.99 and 511.79 is: 705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.05 : 1,091.99 = 511.79 : x
  2. Step 2: Convert to fraction form
    792.05/1,091.99 = 511.79/x
  3. Step 3: Cross multiply
    792.05x = 1,091.99 × 511.79
  4. Step 4: Simplify right side
    792.05x = 558,861.54
  5. Step 5: Solve for x
    x = 558,861.54/792.05
  6. Step 6: Final answer
    x = 705.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.