Home / 1,321.40-1,982.09-396.95

Finding the Fourth Proportional to 1,321.40, 1,982.09 and 396.95

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Solution

The fourth proportional to 1,321.40, 1,982.09 and 396.95 is: 595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.40 : 1,982.09 = 396.95 : x
  2. Step 2: Convert to fraction form
    1,321.40/1,982.09 = 396.95/x
  3. Step 3: Cross multiply
    1,321.40x = 1,982.09 × 396.95
  4. Step 4: Simplify right side
    1,321.40x = 786,793.60
  5. Step 5: Solve for x
    x = 786,793.60/1,321.40
  6. Step 6: Final answer
    x = 595.43

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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.