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Finding the Fourth Proportional to 1,309, 1,963.50 and 443.32

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Solution

The fourth proportional to 1,309, 1,963.50 and 443.32 is: 664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309 : 1,963.50 = 443.32 : x
  2. Step 2: Convert to fraction form
    1,309/1,963.50 = 443.32/x
  3. Step 3: Cross multiply
    1,309x = 1,963.50 × 443.32
  4. Step 4: Simplify right side
    1,309x = 870,458.82
  5. Step 5: Solve for x
    x = 870,458.82/1,309
  6. Step 6: Final answer
    x = 664.98

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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.