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Finding the Fourth Proportional to 1,442.37, 2,163.57 and 620.64

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Solution

The fourth proportional to 1,442.37, 2,163.57 and 620.64 is: 930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.37 : 2,163.57 = 620.64 : x
  2. Step 2: Convert to fraction form
    1,442.37/2,163.57 = 620.64/x
  3. Step 3: Cross multiply
    1,442.37x = 2,163.57 × 620.64
  4. Step 4: Simplify right side
    1,442.37x = 1,342,798.08
  5. Step 5: Solve for x
    x = 1,342,798.08/1,442.37
  6. Step 6: Final answer
    x = 930.97

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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.