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Finding the Fourth Proportional to 660.71, 911.83 and 366.00

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Solution

The fourth proportional to 660.71, 911.83 and 366.00 is: 505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.71 : 911.83 = 366.00 : x
  2. Step 2: Convert to fraction form
    660.71/911.83 = 366.00/x
  3. Step 3: Cross multiply
    660.71x = 911.83 × 366.00
  4. Step 4: Simplify right side
    660.71x = 333,733.20
  5. Step 5: Solve for x
    x = 333,733.20/660.71
  6. Step 6: Final answer
    x = 505.11

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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.