Home / 1,433.25-2,149.94-459.36

Finding the Fourth Proportional to 1,433.25, 2,149.94 and 459.36

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Solution

The fourth proportional to 1,433.25, 2,149.94 and 459.36 is: 689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.25 : 2,149.94 = 459.36 : x
  2. Step 2: Convert to fraction form
    1,433.25/2,149.94 = 459.36/x
  3. Step 3: Cross multiply
    1,433.25x = 2,149.94 × 459.36
  4. Step 4: Simplify right side
    1,433.25x = 987,596.44
  5. Step 5: Solve for x
    x = 987,596.44/1,433.25
  6. Step 6: Final answer
    x = 689.06

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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.