Home / 1,150.22-1,725.27-284.54

Finding the Fourth Proportional to 1,150.22, 1,725.27 and 284.54

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Solution

The fourth proportional to 1,150.22, 1,725.27 and 284.54 is: 426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.22 : 1,725.27 = 284.54 : x
  2. Step 2: Convert to fraction form
    1,150.22/1,725.27 = 284.54/x
  3. Step 3: Cross multiply
    1,150.22x = 1,725.27 × 284.54
  4. Step 4: Simplify right side
    1,150.22x = 490,899.70
  5. Step 5: Solve for x
    x = 490,899.70/1,150.22
  6. Step 6: Final answer
    x = 426.79

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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.