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Finding the Fourth Proportional to 1,321.41, 1,982.07 and 628.41

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Solution

The fourth proportional to 1,321.41, 1,982.07 and 628.41 is: 942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.41 : 1,982.07 = 628.41 : x
  2. Step 2: Convert to fraction form
    1,321.41/1,982.07 = 628.41/x
  3. Step 3: Cross multiply
    1,321.41x = 1,982.07 × 628.41
  4. Step 4: Simplify right side
    1,321.41x = 1,245,552.61
  5. Step 5: Solve for x
    x = 1,245,552.61/1,321.41
  6. Step 6: Final answer
    x = 942.59

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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.