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Finding the Fourth Proportional to 662.83, 994.66 and 252.32

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Solution

The fourth proportional to 662.83, 994.66 and 252.32 is: 378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.83 : 994.66 = 252.32 : x
  2. Step 2: Convert to fraction form
    662.83/994.66 = 252.32/x
  3. Step 3: Cross multiply
    662.83x = 994.66 × 252.32
  4. Step 4: Simplify right side
    662.83x = 250,968.43
  5. Step 5: Solve for x
    x = 250,968.43/662.83
  6. Step 6: Final answer
    x = 378.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.