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Finding the Fourth Proportional to 574, 792.12 and 367.12

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Solution

The fourth proportional to 574, 792.12 and 367.12 is: 506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 792.12 = 367.12 : x
  2. Step 2: Convert to fraction form
    574/792.12 = 367.12/x
  3. Step 3: Cross multiply
    574x = 792.12 × 367.12
  4. Step 4: Simplify right side
    574x = 290,803.09
  5. Step 5: Solve for x
    x = 290,803.09/574
  6. Step 6: Final answer
    x = 506.63

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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.