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Finding the Fourth Proportional to 606.35, 837.09 and 408.23

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Solution

The fourth proportional to 606.35, 837.09 and 408.23 is: 563.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.35 : 837.09 = 408.23 : x
  2. Step 2: Convert to fraction form
    606.35/837.09 = 408.23/x
  3. Step 3: Cross multiply
    606.35x = 837.09 × 408.23
  4. Step 4: Simplify right side
    606.35x = 341,719.02
  5. Step 5: Solve for x
    x = 341,719.02/606.35
  6. Step 6: Final answer
    x = 563.56

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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.