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Finding the Fourth Proportional to 452.26, 675.60 and 379.36

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Solution

The fourth proportional to 452.26, 675.60 and 379.36 is: 566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.26 : 675.60 = 379.36 : x
  2. Step 2: Convert to fraction form
    452.26/675.60 = 379.36/x
  3. Step 3: Cross multiply
    452.26x = 675.60 × 379.36
  4. Step 4: Simplify right side
    452.26x = 256,295.62
  5. Step 5: Solve for x
    x = 256,295.62/452.26
  6. Step 6: Final answer
    x = 566.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.