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Finding the Fourth Proportional to 825.27, 1,138.86 and 493.73

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Solution

The fourth proportional to 825.27, 1,138.86 and 493.73 is: 681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.27 : 1,138.86 = 493.73 : x
  2. Step 2: Convert to fraction form
    825.27/1,138.86 = 493.73/x
  3. Step 3: Cross multiply
    825.27x = 1,138.86 × 493.73
  4. Step 4: Simplify right side
    825.27x = 562,283.65
  5. Step 5: Solve for x
    x = 562,283.65/825.27
  6. Step 6: Final answer
    x = 681.33

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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.