Home / 1,439.69-2,158.26-822.54

Finding the Fourth Proportional to 1,439.69, 2,158.26 and 822.54

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Solution

The fourth proportional to 1,439.69, 2,158.26 and 822.54 is: 1,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.69 : 2,158.26 = 822.54 : x
  2. Step 2: Convert to fraction form
    1,439.69/2,158.26 = 822.54/x
  3. Step 3: Cross multiply
    1,439.69x = 2,158.26 × 822.54
  4. Step 4: Simplify right side
    1,439.69x = 1,775,255.18
  5. Step 5: Solve for x
    x = 1,775,255.18/1,439.69
  6. Step 6: Final answer
    x = 1,233.09

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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.