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Finding the Fourth Proportional to 849.14, 1,272.60 and 738.98

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Solution

The fourth proportional to 849.14, 1,272.60 and 738.98 is: 1,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.14 : 1,272.60 = 738.98 : x
  2. Step 2: Convert to fraction form
    849.14/1,272.60 = 738.98/x
  3. Step 3: Cross multiply
    849.14x = 1,272.60 × 738.98
  4. Step 4: Simplify right side
    849.14x = 940,425.95
  5. Step 5: Solve for x
    x = 940,425.95/849.14
  6. Step 6: Final answer
    x = 1,107.50

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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.