Home / 1,321.15-1,982.25-499.66

Finding the Fourth Proportional to 1,321.15, 1,982.25 and 499.66

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Solution

The fourth proportional to 1,321.15, 1,982.25 and 499.66 is: 749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.15 : 1,982.25 = 499.66 : x
  2. Step 2: Convert to fraction form
    1,321.15/1,982.25 = 499.66/x
  3. Step 3: Cross multiply
    1,321.15x = 1,982.25 × 499.66
  4. Step 4: Simplify right side
    1,321.15x = 990,451.04
  5. Step 5: Solve for x
    x = 990,451.04/1,321.15
  6. Step 6: Final answer
    x = 749.69

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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.