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Finding the Fourth Proportional to 2,286.27, 3,429.40 and 554.88

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Solution

The fourth proportional to 2,286.27, 3,429.40 and 554.88 is: 832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.27 : 3,429.40 = 554.88 : x
  2. Step 2: Convert to fraction form
    2,286.27/3,429.40 = 554.88/x
  3. Step 3: Cross multiply
    2,286.27x = 3,429.40 × 554.88
  4. Step 4: Simplify right side
    2,286.27x = 1,902,888.33
  5. Step 5: Solve for x
    x = 1,902,888.33/2,286.27
  6. Step 6: Final answer
    x = 832.31

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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.