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Finding the Fourth Proportional to 563.22, 845.10 and 274.50

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Solution

The fourth proportional to 563.22, 845.10 and 274.50 is: 411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.22 : 845.10 = 274.50 : x
  2. Step 2: Convert to fraction form
    563.22/845.10 = 274.50/x
  3. Step 3: Cross multiply
    563.22x = 845.10 × 274.50
  4. Step 4: Simplify right side
    563.22x = 231,979.95
  5. Step 5: Solve for x
    x = 231,979.95/563.22
  6. Step 6: Final answer
    x = 411.88

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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.