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Finding the Fourth Proportional to 574.73, 791.62 and 408.63

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Solution

The fourth proportional to 574.73, 791.62 and 408.63 is: 562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.73 : 791.62 = 408.63 : x
  2. Step 2: Convert to fraction form
    574.73/791.62 = 408.63/x
  3. Step 3: Cross multiply
    574.73x = 791.62 × 408.63
  4. Step 4: Simplify right side
    574.73x = 323,479.68
  5. Step 5: Solve for x
    x = 323,479.68/574.73
  6. Step 6: Final answer
    x = 562.84

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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.