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Finding the Fourth Proportional to 799.54, 1,200.42 and 635.11

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Solution

The fourth proportional to 799.54, 1,200.42 and 635.11 is: 953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.54 : 1,200.42 = 635.11 : x
  2. Step 2: Convert to fraction form
    799.54/1,200.42 = 635.11/x
  3. Step 3: Cross multiply
    799.54x = 1,200.42 × 635.11
  4. Step 4: Simplify right side
    799.54x = 762,389.57
  5. Step 5: Solve for x
    x = 762,389.57/799.54
  6. Step 6: Final answer
    x = 953.54

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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.