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Finding the Fourth Proportional to 1,076.46, 1,486.23 and 827.32

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Solution

The fourth proportional to 1,076.46, 1,486.23 and 827.32 is: 1,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.46 : 1,486.23 = 827.32 : x
  2. Step 2: Convert to fraction form
    1,076.46/1,486.23 = 827.32/x
  3. Step 3: Cross multiply
    1,076.46x = 1,486.23 × 827.32
  4. Step 4: Simplify right side
    1,076.46x = 1,229,576.24
  5. Step 5: Solve for x
    x = 1,229,576.24/1,076.46
  6. Step 6: Final answer
    x = 1,142.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.