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Finding the Fourth Proportional to 617.25, 924.67 and 408.38

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Solution

The fourth proportional to 617.25, 924.67 and 408.38 is: 611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.25 : 924.67 = 408.38 : x
  2. Step 2: Convert to fraction form
    617.25/924.67 = 408.38/x
  3. Step 3: Cross multiply
    617.25x = 924.67 × 408.38
  4. Step 4: Simplify right side
    617.25x = 377,616.73
  5. Step 5: Solve for x
    x = 377,616.73/617.25
  6. Step 6: Final answer
    x = 611.77

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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.