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Finding the Fourth Proportional to 574.43, 792.90 and 364.73

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Solution

The fourth proportional to 574.43, 792.90 and 364.73 is: 503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.43 : 792.90 = 364.73 : x
  2. Step 2: Convert to fraction form
    574.43/792.90 = 364.73/x
  3. Step 3: Cross multiply
    574.43x = 792.90 × 364.73
  4. Step 4: Simplify right side
    574.43x = 289,190.45
  5. Step 5: Solve for x
    x = 289,190.45/574.43
  6. Step 6: Final answer
    x = 503.44

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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.