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Finding the Fourth Proportional to 604.56, 906.03 and 441.75

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Solution

The fourth proportional to 604.56, 906.03 and 441.75 is: 662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 906.03 = 441.75 : x
  2. Step 2: Convert to fraction form
    604.56/906.03 = 441.75/x
  3. Step 3: Cross multiply
    604.56x = 906.03 × 441.75
  4. Step 4: Simplify right side
    604.56x = 400,238.75
  5. Step 5: Solve for x
    x = 400,238.75/604.56
  6. Step 6: Final answer
    x = 662.03

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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.