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Finding the Fourth Proportional to 849.09, 1,272.55 and 733.53

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Solution

The fourth proportional to 849.09, 1,272.55 and 733.53 is: 1,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.09 : 1,272.55 = 733.53 : x
  2. Step 2: Convert to fraction form
    849.09/1,272.55 = 733.53/x
  3. Step 3: Cross multiply
    849.09x = 1,272.55 × 733.53
  4. Step 4: Simplify right side
    849.09x = 933,453.60
  5. Step 5: Solve for x
    x = 933,453.60/849.09
  6. Step 6: Final answer
    x = 1,099.36

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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.