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Finding the Fourth Proportional to 1,273.63, 1,912.27 and 945.58

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Solution

The fourth proportional to 1,273.63, 1,912.27 and 945.58 is: 1,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.63 : 1,912.27 = 945.58 : x
  2. Step 2: Convert to fraction form
    1,273.63/1,912.27 = 945.58/x
  3. Step 3: Cross multiply
    1,273.63x = 1,912.27 × 945.58
  4. Step 4: Simplify right side
    1,273.63x = 1,808,211.41
  5. Step 5: Solve for x
    x = 1,808,211.41/1,273.63
  6. Step 6: Final answer
    x = 1,419.73

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1.5x scale

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.