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Finding the Fourth Proportional to 1,275.22, 1,912.20 and 453.38

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Solution

The fourth proportional to 1,275.22, 1,912.20 and 453.38 is: 679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.22 : 1,912.20 = 453.38 : x
  2. Step 2: Convert to fraction form
    1,275.22/1,912.20 = 453.38/x
  3. Step 3: Cross multiply
    1,275.22x = 1,912.20 × 453.38
  4. Step 4: Simplify right side
    1,275.22x = 866,953.24
  5. Step 5: Solve for x
    x = 866,953.24/1,275.22
  6. Step 6: Final answer
    x = 679.85

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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.