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Finding the Fourth Proportional to 589.97, 885.42 and 408.64

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Solution

The fourth proportional to 589.97, 885.42 and 408.64 is: 613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.97 : 885.42 = 408.64 : x
  2. Step 2: Convert to fraction form
    589.97/885.42 = 408.64/x
  3. Step 3: Cross multiply
    589.97x = 885.42 × 408.64
  4. Step 4: Simplify right side
    589.97x = 361,811.56
  5. Step 5: Solve for x
    x = 361,811.56/589.97
  6. Step 6: Final answer
    x = 613.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.