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Finding the Fourth Proportional to 1,321.32, 1,980.61 and 443.17

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Solution

The fourth proportional to 1,321.32, 1,980.61 and 443.17 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.32 : 1,980.61 = 443.17 : x
  2. Step 2: Convert to fraction form
    1,321.32/1,980.61 = 443.17/x
  3. Step 3: Cross multiply
    1,321.32x = 1,980.61 × 443.17
  4. Step 4: Simplify right side
    1,321.32x = 877,740.87
  5. Step 5: Solve for x
    x = 877,740.87/1,321.32
  6. Step 6: Final answer
    x = 664.29

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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.