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Finding the Fourth Proportional to 504.44, 755.04 and 329.70

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Solution

The fourth proportional to 504.44, 755.04 and 329.70 is: 493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.44 : 755.04 = 329.70 : x
  2. Step 2: Convert to fraction form
    504.44/755.04 = 329.70/x
  3. Step 3: Cross multiply
    504.44x = 755.04 × 329.70
  4. Step 4: Simplify right side
    504.44x = 248,936.69
  5. Step 5: Solve for x
    x = 248,936.69/504.44
  6. Step 6: Final answer
    x = 493.49

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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.