Home / 1,209.25-1,814.16-343.54

Finding the Fourth Proportional to 1,209.25, 1,814.16 and 343.54

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Solution

The fourth proportional to 1,209.25, 1,814.16 and 343.54 is: 515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.25 : 1,814.16 = 343.54 : x
  2. Step 2: Convert to fraction form
    1,209.25/1,814.16 = 343.54/x
  3. Step 3: Cross multiply
    1,209.25x = 1,814.16 × 343.54
  4. Step 4: Simplify right side
    1,209.25x = 623,236.53
  5. Step 5: Solve for x
    x = 623,236.53/1,209.25
  6. Step 6: Final answer
    x = 515.39

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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.