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Finding the Fourth Proportional to 2,066.40, 3,100.10 and 605.55

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Solution

The fourth proportional to 2,066.40, 3,100.10 and 605.55 is: 908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.40 : 3,100.10 = 605.55 : x
  2. Step 2: Convert to fraction form
    2,066.40/3,100.10 = 605.55/x
  3. Step 3: Cross multiply
    2,066.40x = 3,100.10 × 605.55
  4. Step 4: Simplify right side
    2,066.40x = 1,877,262.53
  5. Step 5: Solve for x
    x = 1,877,262.53/2,066.40
  6. Step 6: Final answer
    x = 908.47

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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.