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Finding the Fourth Proportional to 563.87, 846 and 198.69

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Solution

The fourth proportional to 563.87, 846 and 198.69 is: 298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.87 : 846 = 198.69 : x
  2. Step 2: Convert to fraction form
    563.87/846 = 198.69/x
  3. Step 3: Cross multiply
    563.87x = 846 × 198.69
  4. Step 4: Simplify right side
    563.87x = 168,091.74
  5. Step 5: Solve for x
    x = 168,091.74/563.87
  6. Step 6: Final answer
    x = 298.11

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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.