Home / 1,153.26-1,728.38-422.14

Finding the Fourth Proportional to 1,153.26, 1,728.38 and 422.14

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Solution

The fourth proportional to 1,153.26, 1,728.38 and 422.14 is: 632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.26 : 1,728.38 = 422.14 : x
  2. Step 2: Convert to fraction form
    1,153.26/1,728.38 = 422.14/x
  3. Step 3: Cross multiply
    1,153.26x = 1,728.38 × 422.14
  4. Step 4: Simplify right side
    1,153.26x = 729,611.90
  5. Step 5: Solve for x
    x = 729,611.90/1,153.26
  6. Step 6: Final answer
    x = 632.65

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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.