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Finding the Fourth Proportional to 825.67, 1,138.78 and 494.03

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Solution

The fourth proportional to 825.67, 1,138.78 and 494.03 is: 681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.67 : 1,138.78 = 494.03 : x
  2. Step 2: Convert to fraction form
    825.67/1,138.78 = 494.03/x
  3. Step 3: Cross multiply
    825.67x = 1,138.78 × 494.03
  4. Step 4: Simplify right side
    825.67x = 562,593.10
  5. Step 5: Solve for x
    x = 562,593.10/825.67
  6. Step 6: Final answer
    x = 681.38

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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.