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Finding the Fourth Proportional to 660.49, 990.39 and 331.08

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Solution

The fourth proportional to 660.49, 990.39 and 331.08 is: 496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.49 : 990.39 = 331.08 : x
  2. Step 2: Convert to fraction form
    660.49/990.39 = 331.08/x
  3. Step 3: Cross multiply
    660.49x = 990.39 × 331.08
  4. Step 4: Simplify right side
    660.49x = 327,898.32
  5. Step 5: Solve for x
    x = 327,898.32/660.49
  6. Step 6: Final answer
    x = 496.45

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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.