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Finding the Fourth Proportional to 563.08, 844.61 and 197.78

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Solution

The fourth proportional to 563.08, 844.61 and 197.78 is: 296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.08 : 844.61 = 197.78 : x
  2. Step 2: Convert to fraction form
    563.08/844.61 = 197.78/x
  3. Step 3: Cross multiply
    563.08x = 844.61 × 197.78
  4. Step 4: Simplify right side
    563.08x = 167,043.24
  5. Step 5: Solve for x
    x = 167,043.24/563.08
  6. Step 6: Final answer
    x = 296.66

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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.