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Finding the Fourth Proportional to 1,427.68, 2,141.81 and 605.53

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Solution

The fourth proportional to 1,427.68, 2,141.81 and 605.53 is: 908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.68 : 2,141.81 = 605.53 : x
  2. Step 2: Convert to fraction form
    1,427.68/2,141.81 = 605.53/x
  3. Step 3: Cross multiply
    1,427.68x = 2,141.81 × 605.53
  4. Step 4: Simplify right side
    1,427.68x = 1,296,930.21
  5. Step 5: Solve for x
    x = 1,296,930.21/1,427.68
  6. Step 6: Final answer
    x = 908.42

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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.