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Finding the Fourth Proportional to 563.24, 845.01 and 197.98

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Solution

The fourth proportional to 563.24, 845.01 and 197.98 is: 297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.24 : 845.01 = 197.98 : x
  2. Step 2: Convert to fraction form
    563.24/845.01 = 197.98/x
  3. Step 3: Cross multiply
    563.24x = 845.01 × 197.98
  4. Step 4: Simplify right side
    563.24x = 167,295.08
  5. Step 5: Solve for x
    x = 167,295.08/563.24
  6. Step 6: Final answer
    x = 297.02

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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.