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Finding the Fourth Proportional to 518.54, 780.84 and 382.52

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Solution

The fourth proportional to 518.54, 780.84 and 382.52 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.54 : 780.84 = 382.52 : x
  2. Step 2: Convert to fraction form
    518.54/780.84 = 382.52/x
  3. Step 3: Cross multiply
    518.54x = 780.84 × 382.52
  4. Step 4: Simplify right side
    518.54x = 298,688.87
  5. Step 5: Solve for x
    x = 298,688.87/518.54
  6. Step 6: Final answer
    x = 576.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.