Home / 1,493.26-2,240.09-519.23

Finding the Fourth Proportional to 1,493.26, 2,240.09 and 519.23

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Solution

The fourth proportional to 1,493.26, 2,240.09 and 519.23 is: 778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.26 : 2,240.09 = 519.23 : x
  2. Step 2: Convert to fraction form
    1,493.26/2,240.09 = 519.23/x
  3. Step 3: Cross multiply
    1,493.26x = 2,240.09 × 519.23
  4. Step 4: Simplify right side
    1,493.26x = 1,163,126.88
  5. Step 5: Solve for x
    x = 1,163,126.88/1,493.26
  6. Step 6: Final answer
    x = 778.92

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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.