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Finding the Fourth Proportional to 409.89, 610.26 and 404.15

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Solution

The fourth proportional to 409.89, 610.26 and 404.15 is: 601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.89 : 610.26 = 404.15 : x
  2. Step 2: Convert to fraction form
    409.89/610.26 = 404.15/x
  3. Step 3: Cross multiply
    409.89x = 610.26 × 404.15
  4. Step 4: Simplify right side
    409.89x = 246,635.04
  5. Step 5: Solve for x
    x = 246,635.04/409.89
  6. Step 6: Final answer
    x = 601.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.