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Finding the Fourth Proportional to 911.89, 1,367.31 and 424.47

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Solution

The fourth proportional to 911.89, 1,367.31 and 424.47 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.89 : 1,367.31 = 424.47 : x
  2. Step 2: Convert to fraction form
    911.89/1,367.31 = 424.47/x
  3. Step 3: Cross multiply
    911.89x = 1,367.31 × 424.47
  4. Step 4: Simplify right side
    911.89x = 580,382.08
  5. Step 5: Solve for x
    x = 580,382.08/911.89
  6. Step 6: Final answer
    x = 636.46

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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.