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Finding the Fourth Proportional to 839.23, 1,163.03 and 827.48

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Solution

The fourth proportional to 839.23, 1,163.03 and 827.48 is: 1,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.23 : 1,163.03 = 827.48 : x
  2. Step 2: Convert to fraction form
    839.23/1,163.03 = 827.48/x
  3. Step 3: Cross multiply
    839.23x = 1,163.03 × 827.48
  4. Step 4: Simplify right side
    839.23x = 962,384.06
  5. Step 5: Solve for x
    x = 962,384.06/839.23
  6. Step 6: Final answer
    x = 1,146.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.