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Finding the Fourth Proportional to 911.62, 1,368.12 and 449.38

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Solution

The fourth proportional to 911.62, 1,368.12 and 449.38 is: 674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.62 : 1,368.12 = 449.38 : x
  2. Step 2: Convert to fraction form
    911.62/1,368.12 = 449.38/x
  3. Step 3: Cross multiply
    911.62x = 1,368.12 × 449.38
  4. Step 4: Simplify right side
    911.62x = 614,805.77
  5. Step 5: Solve for x
    x = 614,805.77/911.62
  6. Step 6: Final answer
    x = 674.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.