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Finding the Fourth Proportional to 2,298.38, 3,447.59 and 738.41

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Solution

The fourth proportional to 2,298.38, 3,447.59 and 738.41 is: 1,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.38 : 3,447.59 = 738.41 : x
  2. Step 2: Convert to fraction form
    2,298.38/3,447.59 = 738.41/x
  3. Step 3: Cross multiply
    2,298.38x = 3,447.59 × 738.41
  4. Step 4: Simplify right side
    2,298.38x = 2,545,714.00
  5. Step 5: Solve for x
    x = 2,545,714.00/2,298.38
  6. Step 6: Final answer
    x = 1,107.61

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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.