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Finding the Fourth Proportional to 662.21, 914.06 and 396.80

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Solution

The fourth proportional to 662.21, 914.06 and 396.80 is: 547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.21 : 914.06 = 396.80 : x
  2. Step 2: Convert to fraction form
    662.21/914.06 = 396.80/x
  3. Step 3: Cross multiply
    662.21x = 914.06 × 396.80
  4. Step 4: Simplify right side
    662.21x = 362,697.02
  5. Step 5: Solve for x
    x = 362,697.02/662.21
  6. Step 6: Final answer
    x = 547.71

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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.