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Finding the Fourth Proportional to 1,975.70, 2,963.97 and 677.19

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Solution

The fourth proportional to 1,975.70, 2,963.97 and 677.19 is: 1,015.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.70 : 2,963.97 = 677.19 : x
  2. Step 2: Convert to fraction form
    1,975.70/2,963.97 = 677.19/x
  3. Step 3: Cross multiply
    1,975.70x = 2,963.97 × 677.19
  4. Step 4: Simplify right side
    1,975.70x = 2,007,170.84
  5. Step 5: Solve for x
    x = 2,007,170.84/1,975.70
  6. Step 6: Final answer
    x = 1,015.93

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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.