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Finding the Fourth Proportional to 799.92, 1,104.39 and 520.60

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Solution

The fourth proportional to 799.92, 1,104.39 and 520.60 is: 718.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.92 : 1,104.39 = 520.60 : x
  2. Step 2: Convert to fraction form
    799.92/1,104.39 = 520.60/x
  3. Step 3: Cross multiply
    799.92x = 1,104.39 × 520.60
  4. Step 4: Simplify right side
    799.92x = 574,945.43
  5. Step 5: Solve for x
    x = 574,945.43/799.92
  6. Step 6: Final answer
    x = 718.75

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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.