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Finding the Fourth Proportional to 662.92, 914.42 and 438.87

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Solution

The fourth proportional to 662.92, 914.42 and 438.87 is: 605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.92 : 914.42 = 438.87 : x
  2. Step 2: Convert to fraction form
    662.92/914.42 = 438.87/x
  3. Step 3: Cross multiply
    662.92x = 914.42 × 438.87
  4. Step 4: Simplify right side
    662.92x = 401,310.89
  5. Step 5: Solve for x
    x = 401,310.89/662.92
  6. Step 6: Final answer
    x = 605.37

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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.