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Finding the Fourth Proportional to 2,288.36, 3,431.80 and 749

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Solution

The fourth proportional to 2,288.36, 3,431.80 and 749 is: 1,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.36 : 3,431.80 = 749 : x
  2. Step 2: Convert to fraction form
    2,288.36/3,431.80 = 749/x
  3. Step 3: Cross multiply
    2,288.36x = 3,431.80 × 749
  4. Step 4: Simplify right side
    2,288.36x = 2,570,418.20
  5. Step 5: Solve for x
    x = 2,570,418.20/2,288.36
  6. Step 6: Final answer
    x = 1,123.26

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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.