Home / 1,226.27-1,838.16-496.25

Finding the Fourth Proportional to 1,226.27, 1,838.16 and 496.25

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Solution

The fourth proportional to 1,226.27, 1,838.16 and 496.25 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.27 : 1,838.16 = 496.25 : x
  2. Step 2: Convert to fraction form
    1,226.27/1,838.16 = 496.25/x
  3. Step 3: Cross multiply
    1,226.27x = 1,838.16 × 496.25
  4. Step 4: Simplify right side
    1,226.27x = 912,177.71
  5. Step 5: Solve for x
    x = 912,177.71/1,226.27
  6. Step 6: Final answer
    x = 743.87

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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.