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Finding the Fourth Proportional to 655.21, 981.60 and 329.79

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Solution

The fourth proportional to 655.21, 981.60 and 329.79 is: 494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.21 : 981.60 = 329.79 : x
  2. Step 2: Convert to fraction form
    655.21/981.60 = 329.79/x
  3. Step 3: Cross multiply
    655.21x = 981.60 × 329.79
  4. Step 4: Simplify right side
    655.21x = 323,721.86
  5. Step 5: Solve for x
    x = 323,721.86/655.21
  6. Step 6: Final answer
    x = 494.07

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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.