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Finding the Fourth Proportional to 1,274.45, 1,760.09 and 1,137.02

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Solution

The fourth proportional to 1,274.45, 1,760.09 and 1,137.02 is: 1,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.45 : 1,760.09 = 1,137.02 : x
  2. Step 2: Convert to fraction form
    1,274.45/1,760.09 = 1,137.02/x
  3. Step 3: Cross multiply
    1,274.45x = 1,760.09 × 1,137.02
  4. Step 4: Simplify right side
    1,274.45x = 2,001,243.05
  5. Step 5: Solve for x
    x = 2,001,243.05/1,274.45
  6. Step 6: Final answer
    x = 1,570.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.