Home / 1,214.97-1,822.19-349.35

Finding the Fourth Proportional to 1,214.97, 1,822.19 and 349.35

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Solution

The fourth proportional to 1,214.97, 1,822.19 and 349.35 is: 523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.97 : 1,822.19 = 349.35 : x
  2. Step 2: Convert to fraction form
    1,214.97/1,822.19 = 349.35/x
  3. Step 3: Cross multiply
    1,214.97x = 1,822.19 × 349.35
  4. Step 4: Simplify right side
    1,214.97x = 636,580.33
  5. Step 5: Solve for x
    x = 636,580.33/1,214.97
  6. Step 6: Final answer
    x = 523.95

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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.