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Finding the Fourth Proportional to 892.44, 1,231.55 and 519.63

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Solution

The fourth proportional to 892.44, 1,231.55 and 519.63 is: 717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.44 : 1,231.55 = 519.63 : x
  2. Step 2: Convert to fraction form
    892.44/1,231.55 = 519.63/x
  3. Step 3: Cross multiply
    892.44x = 1,231.55 × 519.63
  4. Step 4: Simplify right side
    892.44x = 639,950.33
  5. Step 5: Solve for x
    x = 639,950.33/892.44
  6. Step 6: Final answer
    x = 717.08

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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.