Home / 1,427.78-2,140.20-550.05

Finding the Fourth Proportional to 1,427.78, 2,140.20 and 550.05

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Solution

The fourth proportional to 1,427.78, 2,140.20 and 550.05 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.78 : 2,140.20 = 550.05 : x
  2. Step 2: Convert to fraction form
    1,427.78/2,140.20 = 550.05/x
  3. Step 3: Cross multiply
    1,427.78x = 2,140.20 × 550.05
  4. Step 4: Simplify right side
    1,427.78x = 1,177,217.01
  5. Step 5: Solve for x
    x = 1,177,217.01/1,427.78
  6. Step 6: Final answer
    x = 824.51

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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.