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Finding the Fourth Proportional to 1,295.50, 1,943.22 and 321.61

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Solution

The fourth proportional to 1,295.50, 1,943.22 and 321.61 is: 482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.50 : 1,943.22 = 321.61 : x
  2. Step 2: Convert to fraction form
    1,295.50/1,943.22 = 321.61/x
  3. Step 3: Cross multiply
    1,295.50x = 1,943.22 × 321.61
  4. Step 4: Simplify right side
    1,295.50x = 624,958.98
  5. Step 5: Solve for x
    x = 624,958.98/1,295.50
  6. Step 6: Final answer
    x = 482.41

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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.