Home / 1,112.96-1,669.38-343.46

Finding the Fourth Proportional to 1,112.96, 1,669.38 and 343.46

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Solution

The fourth proportional to 1,112.96, 1,669.38 and 343.46 is: 515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.96 : 1,669.38 = 343.46 : x
  2. Step 2: Convert to fraction form
    1,112.96/1,669.38 = 343.46/x
  3. Step 3: Cross multiply
    1,112.96x = 1,669.38 × 343.46
  4. Step 4: Simplify right side
    1,112.96x = 573,365.25
  5. Step 5: Solve for x
    x = 573,365.25/1,112.96
  6. Step 6: Final answer
    x = 515.17

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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.