Home / 1,334.12-1,996.40-814.25

Finding the Fourth Proportional to 1,334.12, 1,996.40 and 814.25

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Solution

The fourth proportional to 1,334.12, 1,996.40 and 814.25 is: 1,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.12 : 1,996.40 = 814.25 : x
  2. Step 2: Convert to fraction form
    1,334.12/1,996.40 = 814.25/x
  3. Step 3: Cross multiply
    1,334.12x = 1,996.40 × 814.25
  4. Step 4: Simplify right side
    1,334.12x = 1,625,571.15
  5. Step 5: Solve for x
    x = 1,625,571.15/1,334.12
  6. Step 6: Final answer
    x = 1,218.46

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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.