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Finding the Fourth Proportional to 823.26, 1,233.81 and 389.55

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Solution

The fourth proportional to 823.26, 1,233.81 and 389.55 is: 583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,233.81 = 389.55 : x
  2. Step 2: Convert to fraction form
    823.26/1,233.81 = 389.55/x
  3. Step 3: Cross multiply
    823.26x = 1,233.81 × 389.55
  4. Step 4: Simplify right side
    823.26x = 480,630.69
  5. Step 5: Solve for x
    x = 480,630.69/823.26
  6. Step 6: Final answer
    x = 583.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.