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Finding the Fourth Proportional to 1,270.68, 1,906.20 and 540.60

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Solution

The fourth proportional to 1,270.68, 1,906.20 and 540.60 is: 810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.68 : 1,906.20 = 540.60 : x
  2. Step 2: Convert to fraction form
    1,270.68/1,906.20 = 540.60/x
  3. Step 3: Cross multiply
    1,270.68x = 1,906.20 × 540.60
  4. Step 4: Simplify right side
    1,270.68x = 1,030,491.72
  5. Step 5: Solve for x
    x = 1,030,491.72/1,270.68
  6. Step 6: Final answer
    x = 810.98

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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.