Home / 2,280.99-3,421.62-819.75

Finding the Fourth Proportional to 2,280.99, 3,421.62 and 819.75

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Solution

The fourth proportional to 2,280.99, 3,421.62 and 819.75 is: 1,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.99 : 3,421.62 = 819.75 : x
  2. Step 2: Convert to fraction form
    2,280.99/3,421.62 = 819.75/x
  3. Step 3: Cross multiply
    2,280.99x = 3,421.62 × 819.75
  4. Step 4: Simplify right side
    2,280.99x = 2,804,873.00
  5. Step 5: Solve for x
    x = 2,804,873.00/2,280.99
  6. Step 6: Final answer
    x = 1,229.67

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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.