Home / 1,227.24-1,841.10-496.80

Finding the Fourth Proportional to 1,227.24, 1,841.10 and 496.80

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Solution

The fourth proportional to 1,227.24, 1,841.10 and 496.80 is: 745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.24 : 1,841.10 = 496.80 : x
  2. Step 2: Convert to fraction form
    1,227.24/1,841.10 = 496.80/x
  3. Step 3: Cross multiply
    1,227.24x = 1,841.10 × 496.80
  4. Step 4: Simplify right side
    1,227.24x = 914,658.48
  5. Step 5: Solve for x
    x = 914,658.48/1,227.24
  6. Step 6: Final answer
    x = 745.30

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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.