Home / 1,427.58-2,141.34-453.66

Finding the Fourth Proportional to 1,427.58, 2,141.34 and 453.66

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Solution

The fourth proportional to 1,427.58, 2,141.34 and 453.66 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.58 : 2,141.34 = 453.66 : x
  2. Step 2: Convert to fraction form
    1,427.58/2,141.34 = 453.66/x
  3. Step 3: Cross multiply
    1,427.58x = 2,141.34 × 453.66
  4. Step 4: Simplify right side
    1,427.58x = 971,440.30
  5. Step 5: Solve for x
    x = 971,440.30/1,427.58
  6. Step 6: Final answer
    x = 680.48

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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.