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Finding the Fourth Proportional to 574.25, 792.79 and 399.83

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Solution

The fourth proportional to 574.25, 792.79 and 399.83 is: 551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.25 : 792.79 = 399.83 : x
  2. Step 2: Convert to fraction form
    574.25/792.79 = 399.83/x
  3. Step 3: Cross multiply
    574.25x = 792.79 × 399.83
  4. Step 4: Simplify right side
    574.25x = 316,981.23
  5. Step 5: Solve for x
    x = 316,981.23/574.25
  6. Step 6: Final answer
    x = 551.99

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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.