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Finding the Fourth Proportional to 2,203.65, 3,305.81 and 722.38

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Solution

The fourth proportional to 2,203.65, 3,305.81 and 722.38 is: 1,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.65 : 3,305.81 = 722.38 : x
  2. Step 2: Convert to fraction form
    2,203.65/3,305.81 = 722.38/x
  3. Step 3: Cross multiply
    2,203.65x = 3,305.81 × 722.38
  4. Step 4: Simplify right side
    2,203.65x = 2,388,051.03
  5. Step 5: Solve for x
    x = 2,388,051.03/2,203.65
  6. Step 6: Final answer
    x = 1,083.68

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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.