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Finding the Fourth Proportional to 628.46, 941.71 and 563.11

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Solution

The fourth proportional to 628.46, 941.71 and 563.11 is: 843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.46 : 941.71 = 563.11 : x
  2. Step 2: Convert to fraction form
    628.46/941.71 = 563.11/x
  3. Step 3: Cross multiply
    628.46x = 941.71 × 563.11
  4. Step 4: Simplify right side
    628.46x = 530,286.32
  5. Step 5: Solve for x
    x = 530,286.32/628.46
  6. Step 6: Final answer
    x = 843.79

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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.