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Finding the Fourth Proportional to 660.80, 989.36 and 334.56

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Solution

The fourth proportional to 660.80, 989.36 and 334.56 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.80 : 989.36 = 334.56 : x
  2. Step 2: Convert to fraction form
    660.80/989.36 = 334.56/x
  3. Step 3: Cross multiply
    660.80x = 989.36 × 334.56
  4. Step 4: Simplify right side
    660.80x = 330,998.61
  5. Step 5: Solve for x
    x = 330,998.61/660.80
  6. Step 6: Final answer
    x = 500.91

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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.