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Finding the Fourth Proportional to 1,274.97, 1,759.08 and 771.06

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Solution

The fourth proportional to 1,274.97, 1,759.08 and 771.06 is: 1,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.97 : 1,759.08 = 771.06 : x
  2. Step 2: Convert to fraction form
    1,274.97/1,759.08 = 771.06/x
  3. Step 3: Cross multiply
    1,274.97x = 1,759.08 × 771.06
  4. Step 4: Simplify right side
    1,274.97x = 1,356,356.22
  5. Step 5: Solve for x
    x = 1,356,356.22/1,274.97
  6. Step 6: Final answer
    x = 1,063.83

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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.