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Finding the Fourth Proportional to 563.56, 844.77 and 270.63

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Solution

The fourth proportional to 563.56, 844.77 and 270.63 is: 405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 844.77 = 270.63 : x
  2. Step 2: Convert to fraction form
    563.56/844.77 = 270.63/x
  3. Step 3: Cross multiply
    563.56x = 844.77 × 270.63
  4. Step 4: Simplify right side
    563.56x = 228,620.11
  5. Step 5: Solve for x
    x = 228,620.11/563.56
  6. Step 6: Final answer
    x = 405.67

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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.