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Finding the Fourth Proportional to 659.82, 911.33 and 438.38

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Solution

The fourth proportional to 659.82, 911.33 and 438.38 is: 605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.82 : 911.33 = 438.38 : x
  2. Step 2: Convert to fraction form
    659.82/911.33 = 438.38/x
  3. Step 3: Cross multiply
    659.82x = 911.33 × 438.38
  4. Step 4: Simplify right side
    659.82x = 399,508.85
  5. Step 5: Solve for x
    x = 399,508.85/659.82
  6. Step 6: Final answer
    x = 605.48

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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.