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Finding the Fourth Proportional to 789.96, 1,092.06 and 717.96

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Solution

The fourth proportional to 789.96, 1,092.06 and 717.96 is: 992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.96 : 1,092.06 = 717.96 : x
  2. Step 2: Convert to fraction form
    789.96/1,092.06 = 717.96/x
  3. Step 3: Cross multiply
    789.96x = 1,092.06 × 717.96
  4. Step 4: Simplify right side
    789.96x = 784,055.40
  5. Step 5: Solve for x
    x = 784,055.40/789.96
  6. Step 6: Final answer
    x = 992.53

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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.