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Finding the Fourth Proportional to 800.22, 1,104.31 and 450.91

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Solution

The fourth proportional to 800.22, 1,104.31 and 450.91 is: 622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.22 : 1,104.31 = 450.91 : x
  2. Step 2: Convert to fraction form
    800.22/1,104.31 = 450.91/x
  3. Step 3: Cross multiply
    800.22x = 1,104.31 × 450.91
  4. Step 4: Simplify right side
    800.22x = 497,944.42
  5. Step 5: Solve for x
    x = 497,944.42/800.22
  6. Step 6: Final answer
    x = 622.26

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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.