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Finding the Fourth Proportional to 1,271.14, 1,906.77 and 394.24

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Solution

The fourth proportional to 1,271.14, 1,906.77 and 394.24 is: 591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.14 : 1,906.77 = 394.24 : x
  2. Step 2: Convert to fraction form
    1,271.14/1,906.77 = 394.24/x
  3. Step 3: Cross multiply
    1,271.14x = 1,906.77 × 394.24
  4. Step 4: Simplify right side
    1,271.14x = 751,725.00
  5. Step 5: Solve for x
    x = 751,725.00/1,271.14
  6. Step 6: Final answer
    x = 591.38

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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.