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Finding the Fourth Proportional to 604.06, 906.39 and 409.05

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Solution

The fourth proportional to 604.06, 906.39 and 409.05 is: 613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.06 : 906.39 = 409.05 : x
  2. Step 2: Convert to fraction form
    604.06/906.39 = 409.05/x
  3. Step 3: Cross multiply
    604.06x = 906.39 × 409.05
  4. Step 4: Simplify right side
    604.06x = 370,758.83
  5. Step 5: Solve for x
    x = 370,758.83/604.06
  6. Step 6: Final answer
    x = 613.78

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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.