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Finding the Fourth Proportional to 1,274.63, 1,912.14 and 581.29

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Solution

The fourth proportional to 1,274.63, 1,912.14 and 581.29 is: 872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.63 : 1,912.14 = 581.29 : x
  2. Step 2: Convert to fraction form
    1,274.63/1,912.14 = 581.29/x
  3. Step 3: Cross multiply
    1,274.63x = 1,912.14 × 581.29
  4. Step 4: Simplify right side
    1,274.63x = 1,111,503.08
  5. Step 5: Solve for x
    x = 1,111,503.08/1,274.63
  6. Step 6: Final answer
    x = 872.02

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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.