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Finding the Fourth Proportional to 799.93, 1,200.21 and 475.48

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Solution

The fourth proportional to 799.93, 1,200.21 and 475.48 is: 713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.93 : 1,200.21 = 475.48 : x
  2. Step 2: Convert to fraction form
    799.93/1,200.21 = 475.48/x
  3. Step 3: Cross multiply
    799.93x = 1,200.21 × 475.48
  4. Step 4: Simplify right side
    799.93x = 570,675.85
  5. Step 5: Solve for x
    x = 570,675.85/799.93
  6. Step 6: Final answer
    x = 713.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.