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Finding the Fourth Proportional to 1,787.94, 2,682 and 555.33

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Solution

The fourth proportional to 1,787.94, 2,682 and 555.33 is: 833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.94 : 2,682 = 555.33 : x
  2. Step 2: Convert to fraction form
    1,787.94/2,682 = 555.33/x
  3. Step 3: Cross multiply
    1,787.94x = 2,682 × 555.33
  4. Step 4: Simplify right side
    1,787.94x = 1,489,395.06
  5. Step 5: Solve for x
    x = 1,489,395.06/1,787.94
  6. Step 6: Final answer
    x = 833.02

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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.