Home / 1,463.19-2,194.50-422.93

Finding the Fourth Proportional to 1,463.19, 2,194.50 and 422.93

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Solution

The fourth proportional to 1,463.19, 2,194.50 and 422.93 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.19 : 2,194.50 = 422.93 : x
  2. Step 2: Convert to fraction form
    1,463.19/2,194.50 = 422.93/x
  3. Step 3: Cross multiply
    1,463.19x = 2,194.50 × 422.93
  4. Step 4: Simplify right side
    1,463.19x = 928,107.33
  5. Step 5: Solve for x
    x = 928,107.33/1,463.19
  6. Step 6: Final answer
    x = 634.31

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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.