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Finding the Fourth Proportional to 408.82, 564.01 and 406.99

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Solution

The fourth proportional to 408.82, 564.01 and 406.99 is: 561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.82 : 564.01 = 406.99 : x
  2. Step 2: Convert to fraction form
    408.82/564.01 = 406.99/x
  3. Step 3: Cross multiply
    408.82x = 564.01 × 406.99
  4. Step 4: Simplify right side
    408.82x = 229,546.43
  5. Step 5: Solve for x
    x = 229,546.43/408.82
  6. Step 6: Final answer
    x = 561.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.