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Finding the Fourth Proportional to 736.81, 1,105.36 and 544.33

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Solution

The fourth proportional to 736.81, 1,105.36 and 544.33 is: 816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.81 : 1,105.36 = 544.33 : x
  2. Step 2: Convert to fraction form
    736.81/1,105.36 = 544.33/x
  3. Step 3: Cross multiply
    736.81x = 1,105.36 × 544.33
  4. Step 4: Simplify right side
    736.81x = 601,676.48
  5. Step 5: Solve for x
    x = 601,676.48/736.81
  6. Step 6: Final answer
    x = 816.60

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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.