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Finding the Fourth Proportional to 662.98, 994.53 and 252.04

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Solution

The fourth proportional to 662.98, 994.53 and 252.04 is: 378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.98 : 994.53 = 252.04 : x
  2. Step 2: Convert to fraction form
    662.98/994.53 = 252.04/x
  3. Step 3: Cross multiply
    662.98x = 994.53 × 252.04
  4. Step 4: Simplify right side
    662.98x = 250,661.34
  5. Step 5: Solve for x
    x = 250,661.34/662.98
  6. Step 6: Final answer
    x = 378.08

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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.