Home / 1,057.08-1,584.52-408.26

Finding the Fourth Proportional to 1,057.08, 1,584.52 and 408.26

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Solution

The fourth proportional to 1,057.08, 1,584.52 and 408.26 is: 611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.08 : 1,584.52 = 408.26 : x
  2. Step 2: Convert to fraction form
    1,057.08/1,584.52 = 408.26/x
  3. Step 3: Cross multiply
    1,057.08x = 1,584.52 × 408.26
  4. Step 4: Simplify right side
    1,057.08x = 646,896.14
  5. Step 5: Solve for x
    x = 646,896.14/1,057.08
  6. Step 6: Final answer
    x = 611.97

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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.