Home / 1,226.12-1,837.76-495.22

Finding the Fourth Proportional to 1,226.12, 1,837.76 and 495.22

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Solution

The fourth proportional to 1,226.12, 1,837.76 and 495.22 is: 742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.12 : 1,837.76 = 495.22 : x
  2. Step 2: Convert to fraction form
    1,226.12/1,837.76 = 495.22/x
  3. Step 3: Cross multiply
    1,226.12x = 1,837.76 × 495.22
  4. Step 4: Simplify right side
    1,226.12x = 910,095.51
  5. Step 5: Solve for x
    x = 910,095.51/1,226.12
  6. Step 6: Final answer
    x = 742.26

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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.