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Finding the Fourth Proportional to 618.15, 852.08 and 493.62

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Solution

The fourth proportional to 618.15, 852.08 and 493.62 is: 680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.15 : 852.08 = 493.62 : x
  2. Step 2: Convert to fraction form
    618.15/852.08 = 493.62/x
  3. Step 3: Cross multiply
    618.15x = 852.08 × 493.62
  4. Step 4: Simplify right side
    618.15x = 420,603.73
  5. Step 5: Solve for x
    x = 420,603.73/618.15
  6. Step 6: Final answer
    x = 680.42

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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.