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Finding the Fourth Proportional to 996.79, 1,486.41 and 927.54

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Solution

The fourth proportional to 996.79, 1,486.41 and 927.54 is: 1,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.79 : 1,486.41 = 927.54 : x
  2. Step 2: Convert to fraction form
    996.79/1,486.41 = 927.54/x
  3. Step 3: Cross multiply
    996.79x = 1,486.41 × 927.54
  4. Step 4: Simplify right side
    996.79x = 1,378,704.73
  5. Step 5: Solve for x
    x = 1,378,704.73/996.79
  6. Step 6: Final answer
    x = 1,383.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.