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Finding the Fourth Proportional to 1,804.02, 2,706.81 and 880.38

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Solution

The fourth proportional to 1,804.02, 2,706.81 and 880.38 is: 1,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.02 : 2,706.81 = 880.38 : x
  2. Step 2: Convert to fraction form
    1,804.02/2,706.81 = 880.38/x
  3. Step 3: Cross multiply
    1,804.02x = 2,706.81 × 880.38
  4. Step 4: Simplify right side
    1,804.02x = 2,383,021.39
  5. Step 5: Solve for x
    x = 2,383,021.39/1,804.02
  6. Step 6: Final answer
    x = 1,320.95

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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.