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Finding the Fourth Proportional to 1,838.51, 2,757.74 and 605.90

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Solution

The fourth proportional to 1,838.51, 2,757.74 and 605.90 is: 908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.51 : 2,757.74 = 605.90 : x
  2. Step 2: Convert to fraction form
    1,838.51/2,757.74 = 605.90/x
  3. Step 3: Cross multiply
    1,838.51x = 2,757.74 × 605.90
  4. Step 4: Simplify right side
    1,838.51x = 1,670,897.85
  5. Step 5: Solve for x
    x = 1,670,897.85/1,838.51
  6. Step 6: Final answer
    x = 908.84

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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.