Home / 1,150.15-1,725.21-284.46

Finding the Fourth Proportional to 1,150.15, 1,725.21 and 284.46

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Solution

The fourth proportional to 1,150.15, 1,725.21 and 284.46 is: 426.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.15 : 1,725.21 = 284.46 : x
  2. Step 2: Convert to fraction form
    1,150.15/1,725.21 = 284.46/x
  3. Step 3: Cross multiply
    1,150.15x = 1,725.21 × 284.46
  4. Step 4: Simplify right side
    1,150.15x = 490,753.24
  5. Step 5: Solve for x
    x = 490,753.24/1,150.15
  6. Step 6: Final answer
    x = 426.69

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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.