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Finding the Fourth Proportional to 1,321.82, 1,982.77 and 628.13

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Solution

The fourth proportional to 1,321.82, 1,982.77 and 628.13 is: 942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.82 : 1,982.77 = 628.13 : x
  2. Step 2: Convert to fraction form
    1,321.82/1,982.77 = 628.13/x
  3. Step 3: Cross multiply
    1,321.82x = 1,982.77 × 628.13
  4. Step 4: Simplify right side
    1,321.82x = 1,245,437.32
  5. Step 5: Solve for x
    x = 1,245,437.32/1,321.82
  6. Step 6: Final answer
    x = 942.21

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1.5x scale

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.