Home / 1,214.82-1,822.32-349.14

Finding the Fourth Proportional to 1,214.82, 1,822.32 and 349.14

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Solution

The fourth proportional to 1,214.82, 1,822.32 and 349.14 is: 523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.82 : 1,822.32 = 349.14 : x
  2. Step 2: Convert to fraction form
    1,214.82/1,822.32 = 349.14/x
  3. Step 3: Cross multiply
    1,214.82x = 1,822.32 × 349.14
  4. Step 4: Simplify right side
    1,214.82x = 636,244.80
  5. Step 5: Solve for x
    x = 636,244.80/1,214.82
  6. Step 6: Final answer
    x = 523.74

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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.