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Finding the Fourth Proportional to 633.10, 943.72 and 563.34

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Solution

The fourth proportional to 633.10, 943.72 and 563.34 is: 839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.10 : 943.72 = 563.34 : x
  2. Step 2: Convert to fraction form
    633.10/943.72 = 563.34/x
  3. Step 3: Cross multiply
    633.10x = 943.72 × 563.34
  4. Step 4: Simplify right side
    633.10x = 531,635.22
  5. Step 5: Solve for x
    x = 531,635.22/633.10
  6. Step 6: Final answer
    x = 839.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.