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Finding the Fourth Proportional to 662.20, 911.42 and 475.40

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Solution

The fourth proportional to 662.20, 911.42 and 475.40 is: 654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.20 : 911.42 = 475.40 : x
  2. Step 2: Convert to fraction form
    662.20/911.42 = 475.40/x
  3. Step 3: Cross multiply
    662.20x = 911.42 × 475.40
  4. Step 4: Simplify right side
    662.20x = 433,289.07
  5. Step 5: Solve for x
    x = 433,289.07/662.20
  6. Step 6: Final answer
    x = 654.32

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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.