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Finding the Fourth Proportional to 800.03, 1,198.44 and 635.77

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Solution

The fourth proportional to 800.03, 1,198.44 and 635.77 is: 952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.03 : 1,198.44 = 635.77 : x
  2. Step 2: Convert to fraction form
    800.03/1,198.44 = 635.77/x
  3. Step 3: Cross multiply
    800.03x = 1,198.44 × 635.77
  4. Step 4: Simplify right side
    800.03x = 761,932.20
  5. Step 5: Solve for x
    x = 761,932.20/800.03
  6. Step 6: Final answer
    x = 952.38

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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.