Home / 1,321.58-1,982.10-499.57

Finding the Fourth Proportional to 1,321.58, 1,982.10 and 499.57

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Solution

The fourth proportional to 1,321.58, 1,982.10 and 499.57 is: 749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.58 : 1,982.10 = 499.57 : x
  2. Step 2: Convert to fraction form
    1,321.58/1,982.10 = 499.57/x
  3. Step 3: Cross multiply
    1,321.58x = 1,982.10 × 499.57
  4. Step 4: Simplify right side
    1,321.58x = 990,194.62
  5. Step 5: Solve for x
    x = 990,194.62/1,321.58
  6. Step 6: Final answer
    x = 749.25

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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.