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Finding the Fourth Proportional to 662.99, 994.73 and 320.75

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Solution

The fourth proportional to 662.99, 994.73 and 320.75 is: 481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.99 : 994.73 = 320.75 : x
  2. Step 2: Convert to fraction form
    662.99/994.73 = 320.75/x
  3. Step 3: Cross multiply
    662.99x = 994.73 × 320.75
  4. Step 4: Simplify right side
    662.99x = 319,058.04
  5. Step 5: Solve for x
    x = 319,058.04/662.99
  6. Step 6: Final answer
    x = 481.24

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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.