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Finding the Fourth Proportional to 523.54, 784.78 and 198.82

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Solution

The fourth proportional to 523.54, 784.78 and 198.82 is: 298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 784.78 = 198.82 : x
  2. Step 2: Convert to fraction form
    523.54/784.78 = 198.82/x
  3. Step 3: Cross multiply
    523.54x = 784.78 × 198.82
  4. Step 4: Simplify right side
    523.54x = 156,029.96
  5. Step 5: Solve for x
    x = 156,029.96/523.54
  6. Step 6: Final answer
    x = 298.03

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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.