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Finding the Fourth Proportional to 660.75, 911.79 and 366

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Solution

The fourth proportional to 660.75, 911.79 and 366 is: 505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.75 : 911.79 = 366 : x
  2. Step 2: Convert to fraction form
    660.75/911.79 = 366/x
  3. Step 3: Cross multiply
    660.75x = 911.79 × 366
  4. Step 4: Simplify right side
    660.75x = 333,715.14
  5. Step 5: Solve for x
    x = 333,715.14/660.75
  6. Step 6: Final answer
    x = 505.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.