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Finding the Fourth Proportional to 1,604.81, 2,405.41 and 1,213.54

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Solution

The fourth proportional to 1,604.81, 2,405.41 and 1,213.54 is: 1,818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.81 : 2,405.41 = 1,213.54 : x
  2. Step 2: Convert to fraction form
    1,604.81/2,405.41 = 1,213.54/x
  3. Step 3: Cross multiply
    1,604.81x = 2,405.41 × 1,213.54
  4. Step 4: Simplify right side
    1,604.81x = 2,919,070.82
  5. Step 5: Solve for x
    x = 2,919,070.82/1,604.81
  6. Step 6: Final answer
    x = 1,818.95

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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.