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Finding the Fourth Proportional to 518.97, 780.08 and 327.81

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Solution

The fourth proportional to 518.97, 780.08 and 327.81 is: 492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.97 : 780.08 = 327.81 : x
  2. Step 2: Convert to fraction form
    518.97/780.08 = 327.81/x
  3. Step 3: Cross multiply
    518.97x = 780.08 × 327.81
  4. Step 4: Simplify right side
    518.97x = 255,718.02
  5. Step 5: Solve for x
    x = 255,718.02/518.97
  6. Step 6: Final answer
    x = 492.74

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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.