Home / 1,214.36-1,821.63-348.74

Finding the Fourth Proportional to 1,214.36, 1,821.63 and 348.74

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Solution

The fourth proportional to 1,214.36, 1,821.63 and 348.74 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.36 : 1,821.63 = 348.74 : x
  2. Step 2: Convert to fraction form
    1,214.36/1,821.63 = 348.74/x
  3. Step 3: Cross multiply
    1,214.36x = 1,821.63 × 348.74
  4. Step 4: Simplify right side
    1,214.36x = 635,275.25
  5. Step 5: Solve for x
    x = 635,275.25/1,214.36
  6. Step 6: Final answer
    x = 523.14

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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.