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Finding the Fourth Proportional to 800.30, 1,104.42 and 450.98

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Solution

The fourth proportional to 800.30, 1,104.42 and 450.98 is: 622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.30 : 1,104.42 = 450.98 : x
  2. Step 2: Convert to fraction form
    800.30/1,104.42 = 450.98/x
  3. Step 3: Cross multiply
    800.30x = 1,104.42 × 450.98
  4. Step 4: Simplify right side
    800.30x = 498,075.32
  5. Step 5: Solve for x
    x = 498,075.32/800.30
  6. Step 6: Final answer
    x = 622.36

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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.