Home / 1,463.13-2,194.37-423.14

Finding the Fourth Proportional to 1,463.13, 2,194.37 and 423.14

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Solution

The fourth proportional to 1,463.13, 2,194.37 and 423.14 is: 634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.13 : 2,194.37 = 423.14 : x
  2. Step 2: Convert to fraction form
    1,463.13/2,194.37 = 423.14/x
  3. Step 3: Cross multiply
    1,463.13x = 2,194.37 × 423.14
  4. Step 4: Simplify right side
    1,463.13x = 928,512.63
  5. Step 5: Solve for x
    x = 928,512.63/1,463.13
  6. Step 6: Final answer
    x = 634.61

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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.