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Finding the Fourth Proportional to 1,271.81, 1,906.98 and 394.08

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Solution

The fourth proportional to 1,271.81, 1,906.98 and 394.08 is: 590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.81 : 1,906.98 = 394.08 : x
  2. Step 2: Convert to fraction form
    1,271.81/1,906.98 = 394.08/x
  3. Step 3: Cross multiply
    1,271.81x = 1,906.98 × 394.08
  4. Step 4: Simplify right side
    1,271.81x = 751,508.10
  5. Step 5: Solve for x
    x = 751,508.10/1,271.81
  6. Step 6: Final answer
    x = 590.89

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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.