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Finding the Fourth Proportional to 985.44, 1,477.97 and 327.21

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Solution

The fourth proportional to 985.44, 1,477.97 and 327.21 is: 490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.44 : 1,477.97 = 327.21 : x
  2. Step 2: Convert to fraction form
    985.44/1,477.97 = 327.21/x
  3. Step 3: Cross multiply
    985.44x = 1,477.97 × 327.21
  4. Step 4: Simplify right side
    985.44x = 483,614.00
  5. Step 5: Solve for x
    x = 483,614.00/985.44
  6. Step 6: Final answer
    x = 490.76

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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.