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Finding the Fourth Proportional to 738.43, 1,105.54 and 518.54

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Solution

The fourth proportional to 738.43, 1,105.54 and 518.54 is: 776.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.43 : 1,105.54 = 518.54 : x
  2. Step 2: Convert to fraction form
    738.43/1,105.54 = 518.54/x
  3. Step 3: Cross multiply
    738.43x = 1,105.54 × 518.54
  4. Step 4: Simplify right side
    738.43x = 573,259.89
  5. Step 5: Solve for x
    x = 573,259.89/738.43
  6. Step 6: Final answer
    x = 776.33

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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.