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Finding the Fourth Proportional to 1,427.81, 2,141.04 and 453.65

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Solution

The fourth proportional to 1,427.81, 2,141.04 and 453.65 is: 680.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.81 : 2,141.04 = 453.65 : x
  2. Step 2: Convert to fraction form
    1,427.81/2,141.04 = 453.65/x
  3. Step 3: Cross multiply
    1,427.81x = 2,141.04 × 453.65
  4. Step 4: Simplify right side
    1,427.81x = 971,282.80
  5. Step 5: Solve for x
    x = 971,282.80/1,427.81
  6. Step 6: Final answer
    x = 680.26

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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.