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Finding the Fourth Proportional to 609.80, 842.42 and 563.72

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Solution

The fourth proportional to 609.80, 842.42 and 563.72 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.80 : 842.42 = 563.72 : x
  2. Step 2: Convert to fraction form
    609.80/842.42 = 563.72/x
  3. Step 3: Cross multiply
    609.80x = 842.42 × 563.72
  4. Step 4: Simplify right side
    609.80x = 474,889.00
  5. Step 5: Solve for x
    x = 474,889.00/609.80
  6. Step 6: Final answer
    x = 778.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.