Home / 1,517.05-2,272.37-784.41

Finding the Fourth Proportional to 1,517.05, 2,272.37 and 784.41

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Solution

The fourth proportional to 1,517.05, 2,272.37 and 784.41 is: 1,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.05 : 2,272.37 = 784.41 : x
  2. Step 2: Convert to fraction form
    1,517.05/2,272.37 = 784.41/x
  3. Step 3: Cross multiply
    1,517.05x = 2,272.37 × 784.41
  4. Step 4: Simplify right side
    1,517.05x = 1,782,469.75
  5. Step 5: Solve for x
    x = 1,782,469.75/1,517.05
  6. Step 6: Final answer
    x = 1,174.96

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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.