Home / 1,589.30-2,382.89-614.27

Finding the Fourth Proportional to 1,589.30, 2,382.89 and 614.27

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Solution

The fourth proportional to 1,589.30, 2,382.89 and 614.27 is: 920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.30 : 2,382.89 = 614.27 : x
  2. Step 2: Convert to fraction form
    1,589.30/2,382.89 = 614.27/x
  3. Step 3: Cross multiply
    1,589.30x = 2,382.89 × 614.27
  4. Step 4: Simplify right side
    1,589.30x = 1,463,722.85
  5. Step 5: Solve for x
    x = 1,463,722.85/1,589.30
  6. Step 6: Final answer
    x = 920.98

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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.