Home / 1,433.26-2,149.42-459.13

Finding the Fourth Proportional to 1,433.26, 2,149.42 and 459.13

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Solution

The fourth proportional to 1,433.26, 2,149.42 and 459.13 is: 688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.26 : 2,149.42 = 459.13 : x
  2. Step 2: Convert to fraction form
    1,433.26/2,149.42 = 459.13/x
  3. Step 3: Cross multiply
    1,433.26x = 2,149.42 × 459.13
  4. Step 4: Simplify right side
    1,433.26x = 986,863.20
  5. Step 5: Solve for x
    x = 986,863.20/1,433.26
  6. Step 6: Final answer
    x = 688.54

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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.