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Finding the Fourth Proportional to 911.21, 1,366.92 and 424.31

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Solution

The fourth proportional to 911.21, 1,366.92 and 424.31 is: 636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.21 : 1,366.92 = 424.31 : x
  2. Step 2: Convert to fraction form
    911.21/1,366.92 = 424.31/x
  3. Step 3: Cross multiply
    911.21x = 1,366.92 × 424.31
  4. Step 4: Simplify right side
    911.21x = 579,990.99
  5. Step 5: Solve for x
    x = 579,990.99/911.21
  6. Step 6: Final answer
    x = 636.51

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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.