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Finding the Fourth Proportional to 1,072.93, 1,481.37 and 674.77

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Solution

The fourth proportional to 1,072.93, 1,481.37 and 674.77 is: 931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.93 : 1,481.37 = 674.77 : x
  2. Step 2: Convert to fraction form
    1,072.93/1,481.37 = 674.77/x
  3. Step 3: Cross multiply
    1,072.93x = 1,481.37 × 674.77
  4. Step 4: Simplify right side
    1,072.93x = 999,584.03
  5. Step 5: Solve for x
    x = 999,584.03/1,072.93
  6. Step 6: Final answer
    x = 931.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.