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Finding the Fourth Proportional to 523.50, 785.46 and 198.84

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Solution

The fourth proportional to 523.50, 785.46 and 198.84 is: 298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.50 : 785.46 = 198.84 : x
  2. Step 2: Convert to fraction form
    523.50/785.46 = 198.84/x
  3. Step 3: Cross multiply
    523.50x = 785.46 × 198.84
  4. Step 4: Simplify right side
    523.50x = 156,180.87
  5. Step 5: Solve for x
    x = 156,180.87/523.50
  6. Step 6: Final answer
    x = 298.34

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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.