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Finding the Fourth Proportional to 1,211.65, 1,816.67 and 481.03

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Solution

The fourth proportional to 1,211.65, 1,816.67 and 481.03 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.65 : 1,816.67 = 481.03 : x
  2. Step 2: Convert to fraction form
    1,211.65/1,816.67 = 481.03/x
  3. Step 3: Cross multiply
    1,211.65x = 1,816.67 × 481.03
  4. Step 4: Simplify right side
    1,211.65x = 873,870.36
  5. Step 5: Solve for x
    x = 873,870.36/1,211.65
  6. Step 6: Final answer
    x = 721.22

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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.