Home / 1,321.11-1,982.34-998.46

Finding the Fourth Proportional to 1,321.11, 1,982.34 and 998.46

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Solution

The fourth proportional to 1,321.11, 1,982.34 and 998.46 is: 1,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.11 : 1,982.34 = 998.46 : x
  2. Step 2: Convert to fraction form
    1,321.11/1,982.34 = 998.46/x
  3. Step 3: Cross multiply
    1,321.11x = 1,982.34 × 998.46
  4. Step 4: Simplify right side
    1,321.11x = 1,979,287.20
  5. Step 5: Solve for x
    x = 1,979,287.20/1,321.11
  6. Step 6: Final answer
    x = 1,498.20

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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.