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Finding the Fourth Proportional to 2,066.49, 3,100.26 and 605.79

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Solution

The fourth proportional to 2,066.49, 3,100.26 and 605.79 is: 908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.49 : 3,100.26 = 605.79 : x
  2. Step 2: Convert to fraction form
    2,066.49/3,100.26 = 605.79/x
  3. Step 3: Cross multiply
    2,066.49x = 3,100.26 × 605.79
  4. Step 4: Simplify right side
    2,066.49x = 1,878,106.51
  5. Step 5: Solve for x
    x = 1,878,106.51/2,066.49
  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.