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Finding the Fourth Proportional to 827.55, 1,141.29 and 679.32

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Solution

The fourth proportional to 827.55, 1,141.29 and 679.32 is: 936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.55 : 1,141.29 = 679.32 : x
  2. Step 2: Convert to fraction form
    827.55/1,141.29 = 679.32/x
  3. Step 3: Cross multiply
    827.55x = 1,141.29 × 679.32
  4. Step 4: Simplify right side
    827.55x = 775,301.12
  5. Step 5: Solve for x
    x = 775,301.12/827.55
  6. Step 6: Final answer
    x = 936.86

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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.