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Finding the Fourth Proportional to 827.98, 1,142.67 and 547.73

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Solution

The fourth proportional to 827.98, 1,142.67 and 547.73 is: 755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.98 : 1,142.67 = 547.73 : x
  2. Step 2: Convert to fraction form
    827.98/1,142.67 = 547.73/x
  3. Step 3: Cross multiply
    827.98x = 1,142.67 × 547.73
  4. Step 4: Simplify right side
    827.98x = 625,878.48
  5. Step 5: Solve for x
    x = 625,878.48/827.98
  6. Step 6: Final answer
    x = 755.91

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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.