Home / 1,629.34-2,443.82-459.43

Finding the Fourth Proportional to 1,629.34, 2,443.82 and 459.43

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Solution

The fourth proportional to 1,629.34, 2,443.82 and 459.43 is: 689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.34 : 2,443.82 = 459.43 : x
  2. Step 2: Convert to fraction form
    1,629.34/2,443.82 = 459.43/x
  3. Step 3: Cross multiply
    1,629.34x = 2,443.82 × 459.43
  4. Step 4: Simplify right side
    1,629.34x = 1,122,761.93
  5. Step 5: Solve for x
    x = 1,122,761.93/1,629.34
  6. Step 6: Final answer
    x = 689.09

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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.