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Finding the Fourth Proportional to 409.80, 611.13 and 406.20

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Solution

The fourth proportional to 409.80, 611.13 and 406.20 is: 605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 611.13 = 406.20 : x
  2. Step 2: Convert to fraction form
    409.80/611.13 = 406.20/x
  3. Step 3: Cross multiply
    409.80x = 611.13 × 406.20
  4. Step 4: Simplify right side
    409.80x = 248,241.01
  5. Step 5: Solve for x
    x = 248,241.01/409.80
  6. Step 6: Final answer
    x = 605.76

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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.