Home / 1,321.32-1,982.70-800.04

Finding the Fourth Proportional to 1,321.32, 1,982.70 and 800.04

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Solution

The fourth proportional to 1,321.32, 1,982.70 and 800.04 is: 1,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.32 : 1,982.70 = 800.04 : x
  2. Step 2: Convert to fraction form
    1,321.32/1,982.70 = 800.04/x
  3. Step 3: Cross multiply
    1,321.32x = 1,982.70 × 800.04
  4. Step 4: Simplify right side
    1,321.32x = 1,586,239.31
  5. Step 5: Solve for x
    x = 1,586,239.31/1,321.32
  6. Step 6: Final answer
    x = 1,200.50

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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.