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Finding the Fourth Proportional to 1,274.49, 1,911.80 and 397.59

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Solution

The fourth proportional to 1,274.49, 1,911.80 and 397.59 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.49 : 1,911.80 = 397.59 : x
  2. Step 2: Convert to fraction form
    1,274.49/1,911.80 = 397.59/x
  3. Step 3: Cross multiply
    1,274.49x = 1,911.80 × 397.59
  4. Step 4: Simplify right side
    1,274.49x = 760,112.56
  5. Step 5: Solve for x
    x = 760,112.56/1,274.49
  6. Step 6: Final answer
    x = 596.41

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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.