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Finding the Fourth Proportional to 2,296, 3,444 and 757.12

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Solution

The fourth proportional to 2,296, 3,444 and 757.12 is: 1,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296 : 3,444 = 757.12 : x
  2. Step 2: Convert to fraction form
    2,296/3,444 = 757.12/x
  3. Step 3: Cross multiply
    2,296x = 3,444 × 757.12
  4. Step 4: Simplify right side
    2,296x = 2,607,521.28
  5. Step 5: Solve for x
    x = 2,607,521.28/2,296
  6. Step 6: Final answer
    x = 1,135.68

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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.