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Finding the Fourth Proportional to 409.37, 611.37 and 405.14

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Solution

The fourth proportional to 409.37, 611.37 and 405.14 is: 605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.37 : 611.37 = 405.14 : x
  2. Step 2: Convert to fraction form
    409.37/611.37 = 405.14/x
  3. Step 3: Cross multiply
    409.37x = 611.37 × 405.14
  4. Step 4: Simplify right side
    409.37x = 247,687.38
  5. Step 5: Solve for x
    x = 247,687.38/409.37
  6. Step 6: Final answer
    x = 605.05

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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.