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Finding the Fourth Proportional to 606.08, 835.46 and 419.73

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Solution

The fourth proportional to 606.08, 835.46 and 419.73 is: 578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.08 : 835.46 = 419.73 : x
  2. Step 2: Convert to fraction form
    606.08/835.46 = 419.73/x
  3. Step 3: Cross multiply
    606.08x = 835.46 × 419.73
  4. Step 4: Simplify right side
    606.08x = 350,671.03
  5. Step 5: Solve for x
    x = 350,671.03/606.08
  6. Step 6: Final answer
    x = 578.59

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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.