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Finding the Fourth Proportional to 1,414.26, 2,121.26 and 388.26

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Solution

The fourth proportional to 1,414.26, 2,121.26 and 388.26 is: 582.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.26 : 2,121.26 = 388.26 : x
  2. Step 2: Convert to fraction form
    1,414.26/2,121.26 = 388.26/x
  3. Step 3: Cross multiply
    1,414.26x = 2,121.26 × 388.26
  4. Step 4: Simplify right side
    1,414.26x = 823,598.47
  5. Step 5: Solve for x
    x = 823,598.47/1,414.26
  6. Step 6: Final answer
    x = 582.35

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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.