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Finding the Fourth Proportional to 1,427.49, 2,141.49 and 453.36

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Solution

The fourth proportional to 1,427.49, 2,141.49 and 453.36 is: 680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.49 : 2,141.49 = 453.36 : x
  2. Step 2: Convert to fraction form
    1,427.49/2,141.49 = 453.36/x
  3. Step 3: Cross multiply
    1,427.49x = 2,141.49 × 453.36
  4. Step 4: Simplify right side
    1,427.49x = 970,865.91
  5. Step 5: Solve for x
    x = 970,865.91/1,427.49
  6. Step 6: Final answer
    x = 680.12

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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.