Home / 1,150.25-1,725.41-284.56

Finding the Fourth Proportional to 1,150.25, 1,725.41 and 284.56

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Solution

The fourth proportional to 1,150.25, 1,725.41 and 284.56 is: 426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.25 : 1,725.41 = 284.56 : x
  2. Step 2: Convert to fraction form
    1,150.25/1,725.41 = 284.56/x
  3. Step 3: Cross multiply
    1,150.25x = 1,725.41 × 284.56
  4. Step 4: Simplify right side
    1,150.25x = 490,982.67
  5. Step 5: Solve for x
    x = 490,982.67/1,150.25
  6. Step 6: Final answer
    x = 426.85

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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.