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Finding the Fourth Proportional to 1,269.44, 1,906.07 and 1,035.89

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Solution

The fourth proportional to 1,269.44, 1,906.07 and 1,035.89 is: 1,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.44 : 1,906.07 = 1,035.89 : x
  2. Step 2: Convert to fraction form
    1,269.44/1,906.07 = 1,035.89/x
  3. Step 3: Cross multiply
    1,269.44x = 1,906.07 × 1,035.89
  4. Step 4: Simplify right side
    1,269.44x = 1,974,464.14
  5. Step 5: Solve for x
    x = 1,974,464.14/1,269.44
  6. Step 6: Final answer
    x = 1,555.39

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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.