Home / 1,601.44-2,402.38-505.43

Finding the Fourth Proportional to 1,601.44, 2,402.38 and 505.43

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Solution

The fourth proportional to 1,601.44, 2,402.38 and 505.43 is: 758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.44 : 2,402.38 = 505.43 : x
  2. Step 2: Convert to fraction form
    1,601.44/2,402.38 = 505.43/x
  3. Step 3: Cross multiply
    1,601.44x = 2,402.38 × 505.43
  4. Step 4: Simplify right side
    1,601.44x = 1,214,234.92
  5. Step 5: Solve for x
    x = 1,214,234.92/1,601.44
  6. Step 6: Final answer
    x = 758.21

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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.