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Finding the Fourth Proportional to 406.10, 605.07 and 404.48

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Solution

The fourth proportional to 406.10, 605.07 and 404.48 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.10 : 605.07 = 404.48 : x
  2. Step 2: Convert to fraction form
    406.10/605.07 = 404.48/x
  3. Step 3: Cross multiply
    406.10x = 605.07 × 404.48
  4. Step 4: Simplify right side
    406.10x = 244,735.69
  5. Step 5: Solve for x
    x = 244,735.69/406.10
  6. Step 6: Final answer
    x = 602.66

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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.