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Finding the Fourth Proportional to 2,066.90, 3,100.05 and 605.90

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Solution

The fourth proportional to 2,066.90, 3,100.05 and 605.90 is: 908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.90 : 3,100.05 = 605.90 : x
  2. Step 2: Convert to fraction form
    2,066.90/3,100.05 = 605.90/x
  3. Step 3: Cross multiply
    2,066.90x = 3,100.05 × 605.90
  4. Step 4: Simplify right side
    2,066.90x = 1,878,320.30
  5. Step 5: Solve for x
    x = 1,878,320.30/2,066.90
  6. Step 6: Final answer
    x = 908.76

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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.