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Finding the Fourth Proportional to 827.01, 1,139.27 and 679.59

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Solution

The fourth proportional to 827.01, 1,139.27 and 679.59 is: 936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.01 : 1,139.27 = 679.59 : x
  2. Step 2: Convert to fraction form
    827.01/1,139.27 = 679.59/x
  3. Step 3: Cross multiply
    827.01x = 1,139.27 × 679.59
  4. Step 4: Simplify right side
    827.01x = 774,233.10
  5. Step 5: Solve for x
    x = 774,233.10/827.01
  6. Step 6: Final answer
    x = 936.18

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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.