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Finding the Fourth Proportional to 660.59, 911.67 and 365.91

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Solution

The fourth proportional to 660.59, 911.67 and 365.91 is: 504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.59 : 911.67 = 365.91 : x
  2. Step 2: Convert to fraction form
    660.59/911.67 = 365.91/x
  3. Step 3: Cross multiply
    660.59x = 911.67 × 365.91
  4. Step 4: Simplify right side
    660.59x = 333,589.17
  5. Step 5: Solve for x
    x = 333,589.17/660.59
  6. Step 6: Final answer
    x = 504.99

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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.