Home / 1,427.25-2,141.24-401.25

Finding the Fourth Proportional to 1,427.25, 2,141.24 and 401.25

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Solution

The fourth proportional to 1,427.25, 2,141.24 and 401.25 is: 601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.25 : 2,141.24 = 401.25 : x
  2. Step 2: Convert to fraction form
    1,427.25/2,141.24 = 401.25/x
  3. Step 3: Cross multiply
    1,427.25x = 2,141.24 × 401.25
  4. Step 4: Simplify right side
    1,427.25x = 859,172.55
  5. Step 5: Solve for x
    x = 859,172.55/1,427.25
  6. Step 6: Final answer
    x = 601.98

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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.