Home / 1,433.44-2,150.22-459.68

Finding the Fourth Proportional to 1,433.44, 2,150.22 and 459.68

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Solution

The fourth proportional to 1,433.44, 2,150.22 and 459.68 is: 689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.44 : 2,150.22 = 459.68 : x
  2. Step 2: Convert to fraction form
    1,433.44/2,150.22 = 459.68/x
  3. Step 3: Cross multiply
    1,433.44x = 2,150.22 × 459.68
  4. Step 4: Simplify right side
    1,433.44x = 988,413.13
  5. Step 5: Solve for x
    x = 988,413.13/1,433.44
  6. Step 6: Final answer
    x = 689.54

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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.