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Finding the Fourth Proportional to 1,976.84, 2,963.28 and 677.42

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Solution

The fourth proportional to 1,976.84, 2,963.28 and 677.42 is: 1,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.84 : 2,963.28 = 677.42 : x
  2. Step 2: Convert to fraction form
    1,976.84/2,963.28 = 677.42/x
  3. Step 3: Cross multiply
    1,976.84x = 2,963.28 × 677.42
  4. Step 4: Simplify right side
    1,976.84x = 2,007,385.14
  5. Step 5: Solve for x
    x = 2,007,385.14/1,976.84
  6. Step 6: Final answer
    x = 1,015.45

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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.