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Finding the Fourth Proportional to 2,269.81, 3,404.44 and 626.46

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Solution

The fourth proportional to 2,269.81, 3,404.44 and 626.46 is: 939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.81 : 3,404.44 = 626.46 : x
  2. Step 2: Convert to fraction form
    2,269.81/3,404.44 = 626.46/x
  3. Step 3: Cross multiply
    2,269.81x = 3,404.44 × 626.46
  4. Step 4: Simplify right side
    2,269.81x = 2,132,745.48
  5. Step 5: Solve for x
    x = 2,132,745.48/2,269.81
  6. Step 6: Final answer
    x = 939.61

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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.