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Finding the Fourth Proportional to 896.11, 1,343.02 and 484.23

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Solution

The fourth proportional to 896.11, 1,343.02 and 484.23 is: 725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.11 : 1,343.02 = 484.23 : x
  2. Step 2: Convert to fraction form
    896.11/1,343.02 = 484.23/x
  3. Step 3: Cross multiply
    896.11x = 1,343.02 × 484.23
  4. Step 4: Simplify right side
    896.11x = 650,322.65
  5. Step 5: Solve for x
    x = 650,322.65/896.11
  6. Step 6: Final answer
    x = 725.72

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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.