Home / 1,214.68-1,821.96-348.96

Finding the Fourth Proportional to 1,214.68, 1,821.96 and 348.96

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Solution

The fourth proportional to 1,214.68, 1,821.96 and 348.96 is: 523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.68 : 1,821.96 = 348.96 : x
  2. Step 2: Convert to fraction form
    1,214.68/1,821.96 = 348.96/x
  3. Step 3: Cross multiply
    1,214.68x = 1,821.96 × 348.96
  4. Step 4: Simplify right side
    1,214.68x = 635,791.16
  5. Step 5: Solve for x
    x = 635,791.16/1,214.68
  6. Step 6: Final answer
    x = 523.42

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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.