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Finding the Fourth Proportional to 793.25, 1,094.78 and 660.24

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Solution

The fourth proportional to 793.25, 1,094.78 and 660.24 is: 911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.25 : 1,094.78 = 660.24 : x
  2. Step 2: Convert to fraction form
    793.25/1,094.78 = 660.24/x
  3. Step 3: Cross multiply
    793.25x = 1,094.78 × 660.24
  4. Step 4: Simplify right side
    793.25x = 722,817.55
  5. Step 5: Solve for x
    x = 722,817.55/793.25
  6. Step 6: Final answer
    x = 911.21

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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.