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Finding the Fourth Proportional to 733.43, 1,105.09 and 606.28

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Solution

The fourth proportional to 733.43, 1,105.09 and 606.28 is: 913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.43 : 1,105.09 = 606.28 : x
  2. Step 2: Convert to fraction form
    733.43/1,105.09 = 606.28/x
  3. Step 3: Cross multiply
    733.43x = 1,105.09 × 606.28
  4. Step 4: Simplify right side
    733.43x = 669,993.97
  5. Step 5: Solve for x
    x = 669,993.97/733.43
  6. Step 6: Final answer
    x = 913.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.