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Finding the Fourth Proportional to 1,271.15, 1,906.36 and 491.09

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Solution

The fourth proportional to 1,271.15, 1,906.36 and 491.09 is: 736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.15 : 1,906.36 = 491.09 : x
  2. Step 2: Convert to fraction form
    1,271.15/1,906.36 = 491.09/x
  3. Step 3: Cross multiply
    1,271.15x = 1,906.36 × 491.09
  4. Step 4: Simplify right side
    1,271.15x = 936,194.33
  5. Step 5: Solve for x
    x = 936,194.33/1,271.15
  6. Step 6: Final answer
    x = 736.49

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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.