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Finding the Fourth Proportional to 618.54, 850.68 and 492.72

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Solution

The fourth proportional to 618.54, 850.68 and 492.72 is: 677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.54 : 850.68 = 492.72 : x
  2. Step 2: Convert to fraction form
    618.54/850.68 = 492.72/x
  3. Step 3: Cross multiply
    618.54x = 850.68 × 492.72
  4. Step 4: Simplify right side
    618.54x = 419,147.05
  5. Step 5: Solve for x
    x = 419,147.05/618.54
  6. Step 6: Final answer
    x = 677.64

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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.