Home / 1,321.13-1,982.61-499.39

Finding the Fourth Proportional to 1,321.13, 1,982.61 and 499.39

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Solution

The fourth proportional to 1,321.13, 1,982.61 and 499.39 is: 749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.13 : 1,982.61 = 499.39 : x
  2. Step 2: Convert to fraction form
    1,321.13/1,982.61 = 499.39/x
  3. Step 3: Cross multiply
    1,321.13x = 1,982.61 × 499.39
  4. Step 4: Simplify right side
    1,321.13x = 990,090.65
  5. Step 5: Solve for x
    x = 990,090.65/1,321.13
  6. Step 6: Final answer
    x = 749.43

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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.