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Finding the Fourth Proportional to 662.45, 912.23 and 648.08

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Solution

The fourth proportional to 662.45, 912.23 and 648.08 is: 892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.45 : 912.23 = 648.08 : x
  2. Step 2: Convert to fraction form
    662.45/912.23 = 648.08/x
  3. Step 3: Cross multiply
    662.45x = 912.23 × 648.08
  4. Step 4: Simplify right side
    662.45x = 591,195.08
  5. Step 5: Solve for x
    x = 591,195.08/662.45
  6. Step 6: Final answer
    x = 892.43

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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.