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Finding the Fourth Proportional to 406.49, 605.44 and 401.09

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Solution

The fourth proportional to 406.49, 605.44 and 401.09 is: 597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.49 : 605.44 = 401.09 : x
  2. Step 2: Convert to fraction form
    406.49/605.44 = 401.09/x
  3. Step 3: Cross multiply
    406.49x = 605.44 × 401.09
  4. Step 4: Simplify right side
    406.49x = 242,835.93
  5. Step 5: Solve for x
    x = 242,835.93/406.49
  6. Step 6: Final answer
    x = 597.40

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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.