Home / 1,433.32-2,149.44-459.16

Finding the Fourth Proportional to 1,433.32, 2,149.44 and 459.16

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Solution

The fourth proportional to 1,433.32, 2,149.44 and 459.16 is: 688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.32 : 2,149.44 = 459.16 : x
  2. Step 2: Convert to fraction form
    1,433.32/2,149.44 = 459.16/x
  3. Step 3: Cross multiply
    1,433.32x = 2,149.44 × 459.16
  4. Step 4: Simplify right side
    1,433.32x = 986,936.87
  5. Step 5: Solve for x
    x = 986,936.87/1,433.32
  6. Step 6: Final answer
    x = 688.57

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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.