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Finding the Fourth Proportional to 1,274.67, 1,912.86 and 625.41

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Solution

The fourth proportional to 1,274.67, 1,912.86 and 625.41 is: 938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.67 : 1,912.86 = 625.41 : x
  2. Step 2: Convert to fraction form
    1,274.67/1,912.86 = 625.41/x
  3. Step 3: Cross multiply
    1,274.67x = 1,912.86 × 625.41
  4. Step 4: Simplify right side
    1,274.67x = 1,196,321.77
  5. Step 5: Solve for x
    x = 1,196,321.77/1,274.67
  6. Step 6: Final answer
    x = 938.53

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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.