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Finding the Fourth Proportional to 1,274.45, 1,911.49 and 441.65

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Solution

The fourth proportional to 1,274.45, 1,911.49 and 441.65 is: 662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.45 : 1,911.49 = 441.65 : x
  2. Step 2: Convert to fraction form
    1,274.45/1,911.49 = 441.65/x
  3. Step 3: Cross multiply
    1,274.45x = 1,911.49 × 441.65
  4. Step 4: Simplify right side
    1,274.45x = 844,209.56
  5. Step 5: Solve for x
    x = 844,209.56/1,274.45
  6. Step 6: Final answer
    x = 662.41

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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.