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Finding the Fourth Proportional to 892.37, 1,231.47 and 519.21

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Solution

The fourth proportional to 892.37, 1,231.47 and 519.21 is: 716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.37 : 1,231.47 = 519.21 : x
  2. Step 2: Convert to fraction form
    892.37/1,231.47 = 519.21/x
  3. Step 3: Cross multiply
    892.37x = 1,231.47 × 519.21
  4. Step 4: Simplify right side
    892.37x = 639,391.54
  5. Step 5: Solve for x
    x = 639,391.54/892.37
  6. Step 6: Final answer
    x = 716.51

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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.