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Finding the Fourth Proportional to 789.92, 1,090.49 and 612.49

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Solution

The fourth proportional to 789.92, 1,090.49 and 612.49 is: 845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.92 : 1,090.49 = 612.49 : x
  2. Step 2: Convert to fraction form
    789.92/1,090.49 = 612.49/x
  3. Step 3: Cross multiply
    789.92x = 1,090.49 × 612.49
  4. Step 4: Simplify right side
    789.92x = 667,914.22
  5. Step 5: Solve for x
    x = 667,914.22/789.92
  6. Step 6: Final answer
    x = 845.55

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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.