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Finding the Fourth Proportional to 408.79, 564.34 and 289.34

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Solution

The fourth proportional to 408.79, 564.34 and 289.34 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.79 : 564.34 = 289.34 : x
  2. Step 2: Convert to fraction form
    408.79/564.34 = 289.34/x
  3. Step 3: Cross multiply
    408.79x = 564.34 × 289.34
  4. Step 4: Simplify right side
    408.79x = 163,286.14
  5. Step 5: Solve for x
    x = 163,286.14/408.79
  6. Step 6: Final answer
    x = 399.44

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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.