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Finding the Fourth Proportional to 1,321.42, 1,982.07 and 628.42

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Solution

The fourth proportional to 1,321.42, 1,982.07 and 628.42 is: 942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.42 : 1,982.07 = 628.42 : x
  2. Step 2: Convert to fraction form
    1,321.42/1,982.07 = 628.42/x
  3. Step 3: Cross multiply
    1,321.42x = 1,982.07 × 628.42
  4. Step 4: Simplify right side
    1,321.42x = 1,245,572.43
  5. Step 5: Solve for x
    x = 1,245,572.43/1,321.42
  6. Step 6: Final answer
    x = 942.60

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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.