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Finding the Fourth Proportional to 660.48, 911.82 and 439.75

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Solution

The fourth proportional to 660.48, 911.82 and 439.75 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.48 : 911.82 = 439.75 : x
  2. Step 2: Convert to fraction form
    660.48/911.82 = 439.75/x
  3. Step 3: Cross multiply
    660.48x = 911.82 × 439.75
  4. Step 4: Simplify right side
    660.48x = 400,972.85
  5. Step 5: Solve for x
    x = 400,972.85/660.48
  6. Step 6: Final answer
    x = 607.09

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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.