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Finding the Fourth Proportional to 494.70, 682.20 and 328.80

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Solution

The fourth proportional to 494.70, 682.20 and 328.80 is: 453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.70 : 682.20 = 328.80 : x
  2. Step 2: Convert to fraction form
    494.70/682.20 = 328.80/x
  3. Step 3: Cross multiply
    494.70x = 682.20 × 328.80
  4. Step 4: Simplify right side
    494.70x = 224,307.36
  5. Step 5: Solve for x
    x = 224,307.36/494.70
  6. Step 6: Final answer
    x = 453.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.