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Finding the Fourth Proportional to 1,076.86, 1,487.36 and 827.58

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Solution

The fourth proportional to 1,076.86, 1,487.36 and 827.58 is: 1,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.86 : 1,487.36 = 827.58 : x
  2. Step 2: Convert to fraction form
    1,076.86/1,487.36 = 827.58/x
  3. Step 3: Cross multiply
    1,076.86x = 1,487.36 × 827.58
  4. Step 4: Simplify right side
    1,076.86x = 1,230,909.39
  5. Step 5: Solve for x
    x = 1,230,909.39/1,076.86
  6. Step 6: Final answer
    x = 1,143.05

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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.