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Finding the Fourth Proportional to 892.76, 1,231.81 and 519.54

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Solution

The fourth proportional to 892.76, 1,231.81 and 519.54 is: 716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.76 : 1,231.81 = 519.54 : x
  2. Step 2: Convert to fraction form
    892.76/1,231.81 = 519.54/x
  3. Step 3: Cross multiply
    892.76x = 1,231.81 × 519.54
  4. Step 4: Simplify right side
    892.76x = 639,974.57
  5. Step 5: Solve for x
    x = 639,974.57/892.76
  6. Step 6: Final answer
    x = 716.85

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Double scale
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1.5x scale

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.