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Finding the Fourth Proportional to 1,443.10, 2,163.87 and 620.86

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Solution

The fourth proportional to 1,443.10, 2,163.87 and 620.86 is: 930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.10 : 2,163.87 = 620.86 : x
  2. Step 2: Convert to fraction form
    1,443.10/2,163.87 = 620.86/x
  3. Step 3: Cross multiply
    1,443.10x = 2,163.87 × 620.86
  4. Step 4: Simplify right side
    1,443.10x = 1,343,460.33
  5. Step 5: Solve for x
    x = 1,343,460.33/1,443.10
  6. Step 6: Final answer
    x = 930.95

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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.