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Finding the Fourth Proportional to 799.20, 1,194.21 and 654.48

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Solution

The fourth proportional to 799.20, 1,194.21 and 654.48 is: 977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.20 : 1,194.21 = 654.48 : x
  2. Step 2: Convert to fraction form
    799.20/1,194.21 = 654.48/x
  3. Step 3: Cross multiply
    799.20x = 1,194.21 × 654.48
  4. Step 4: Simplify right side
    799.20x = 781,586.56
  5. Step 5: Solve for x
    x = 781,586.56/799.20
  6. Step 6: Final answer
    x = 977.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.