Home / 1,150.11-1,724.58-820.85

Finding the Fourth Proportional to 1,150.11, 1,724.58 and 820.85

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Solution

The fourth proportional to 1,150.11, 1,724.58 and 820.85 is: 1,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.11 : 1,724.58 = 820.85 : x
  2. Step 2: Convert to fraction form
    1,150.11/1,724.58 = 820.85/x
  3. Step 3: Cross multiply
    1,150.11x = 1,724.58 × 820.85
  4. Step 4: Simplify right side
    1,150.11x = 1,415,612.87
  5. Step 5: Solve for x
    x = 1,415,612.87/1,150.11
  6. Step 6: Final answer
    x = 1,230.85

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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.