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Finding the Fourth Proportional to 1,274.61, 1,912.60 and 727.18

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Solution

The fourth proportional to 1,274.61, 1,912.60 and 727.18 is: 1,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.61 : 1,912.60 = 727.18 : x
  2. Step 2: Convert to fraction form
    1,274.61/1,912.60 = 727.18/x
  3. Step 3: Cross multiply
    1,274.61x = 1,912.60 × 727.18
  4. Step 4: Simplify right side
    1,274.61x = 1,390,799.57
  5. Step 5: Solve for x
    x = 1,390,799.57/1,274.61
  6. Step 6: Final answer
    x = 1,091.16

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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.