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Finding the Fourth Proportional to 1,270.75, 1,754.36 and 959.71

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Solution

The fourth proportional to 1,270.75, 1,754.36 and 959.71 is: 1,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.75 : 1,754.36 = 959.71 : x
  2. Step 2: Convert to fraction form
    1,270.75/1,754.36 = 959.71/x
  3. Step 3: Cross multiply
    1,270.75x = 1,754.36 × 959.71
  4. Step 4: Simplify right side
    1,270.75x = 1,683,676.84
  5. Step 5: Solve for x
    x = 1,683,676.84/1,270.75
  6. Step 6: Final answer
    x = 1,324.95

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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.