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Finding the Fourth Proportional to 662.14, 911.67 and 504.27

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Solution

The fourth proportional to 662.14, 911.67 and 504.27 is: 694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.14 : 911.67 = 504.27 : x
  2. Step 2: Convert to fraction form
    662.14/911.67 = 504.27/x
  3. Step 3: Cross multiply
    662.14x = 911.67 × 504.27
  4. Step 4: Simplify right side
    662.14x = 459,720.75
  5. Step 5: Solve for x
    x = 459,720.75/662.14
  6. Step 6: Final answer
    x = 694.30

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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.