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Finding the Fourth Proportional to 1,286.21, 1,932.40 and 824.89

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Solution

The fourth proportional to 1,286.21, 1,932.40 and 824.89 is: 1,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.21 : 1,932.40 = 824.89 : x
  2. Step 2: Convert to fraction form
    1,286.21/1,932.40 = 824.89/x
  3. Step 3: Cross multiply
    1,286.21x = 1,932.40 × 824.89
  4. Step 4: Simplify right side
    1,286.21x = 1,594,017.44
  5. Step 5: Solve for x
    x = 1,594,017.44/1,286.21
  6. Step 6: Final answer
    x = 1,239.31

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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.