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Finding the Fourth Proportional to 563.58, 845.49 and 198.38

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Solution

The fourth proportional to 563.58, 845.49 and 198.38 is: 297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.58 : 845.49 = 198.38 : x
  2. Step 2: Convert to fraction form
    563.58/845.49 = 198.38/x
  3. Step 3: Cross multiply
    563.58x = 845.49 × 198.38
  4. Step 4: Simplify right side
    563.58x = 167,728.31
  5. Step 5: Solve for x
    x = 167,728.31/563.58
  6. Step 6: Final answer
    x = 297.61

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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.