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Finding the Fourth Proportional to 1,271.36, 1,906.96 and 540.80

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Solution

The fourth proportional to 1,271.36, 1,906.96 and 540.80 is: 811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.36 : 1,906.96 = 540.80 : x
  2. Step 2: Convert to fraction form
    1,271.36/1,906.96 = 540.80/x
  3. Step 3: Cross multiply
    1,271.36x = 1,906.96 × 540.80
  4. Step 4: Simplify right side
    1,271.36x = 1,031,283.97
  5. Step 5: Solve for x
    x = 1,031,283.97/1,271.36
  6. Step 6: Final answer
    x = 811.17

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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.