Home / 1,427.80-2,142.08-453.90

Finding the Fourth Proportional to 1,427.80, 2,142.08 and 453.90

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Solution

The fourth proportional to 1,427.80, 2,142.08 and 453.90 is: 680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.80 : 2,142.08 = 453.90 : x
  2. Step 2: Convert to fraction form
    1,427.80/2,142.08 = 453.90/x
  3. Step 3: Cross multiply
    1,427.80x = 2,142.08 × 453.90
  4. Step 4: Simplify right side
    1,427.80x = 972,287.84
  5. Step 5: Solve for x
    x = 972,287.84/1,427.80
  6. Step 6: Final answer
    x = 680.97

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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.