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Finding the Fourth Proportional to 825.10, 1,138.78 and 493.56

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Solution

The fourth proportional to 825.10, 1,138.78 and 493.56 is: 681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.10 : 1,138.78 = 493.56 : x
  2. Step 2: Convert to fraction form
    825.10/1,138.78 = 493.56/x
  3. Step 3: Cross multiply
    825.10x = 1,138.78 × 493.56
  4. Step 4: Simplify right side
    825.10x = 562,057.49
  5. Step 5: Solve for x
    x = 562,057.49/825.10
  6. Step 6: Final answer
    x = 681.20

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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.