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Finding the Fourth Proportional to 618.96, 926.88 and 329.76

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Solution

The fourth proportional to 618.96, 926.88 and 329.76 is: 493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.96 : 926.88 = 329.76 : x
  2. Step 2: Convert to fraction form
    618.96/926.88 = 329.76/x
  3. Step 3: Cross multiply
    618.96x = 926.88 × 329.76
  4. Step 4: Simplify right side
    618.96x = 305,647.95
  5. Step 5: Solve for x
    x = 305,647.95/618.96
  6. Step 6: Final answer
    x = 493.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.