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Finding the Fourth Proportional to 996.54, 1,493.42 and 379.58

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Solution

The fourth proportional to 996.54, 1,493.42 and 379.58 is: 568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.54 : 1,493.42 = 379.58 : x
  2. Step 2: Convert to fraction form
    996.54/1,493.42 = 379.58/x
  3. Step 3: Cross multiply
    996.54x = 1,493.42 × 379.58
  4. Step 4: Simplify right side
    996.54x = 566,872.36
  5. Step 5: Solve for x
    x = 566,872.36/996.54
  6. Step 6: Final answer
    x = 568.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.