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Finding the Fourth Proportional to 660.08, 911.16 and 438.80

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Solution

The fourth proportional to 660.08, 911.16 and 438.80 is: 605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.08 : 911.16 = 438.80 : x
  2. Step 2: Convert to fraction form
    660.08/911.16 = 438.80/x
  3. Step 3: Cross multiply
    660.08x = 911.16 × 438.80
  4. Step 4: Simplify right side
    660.08x = 399,817.01
  5. Step 5: Solve for x
    x = 399,817.01/660.08
  6. Step 6: Final answer
    x = 605.71

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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.