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Finding the Fourth Proportional to 1,714.51, 2,571.81 and 481.78

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Solution

The fourth proportional to 1,714.51, 2,571.81 and 481.78 is: 722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.51 : 2,571.81 = 481.78 : x
  2. Step 2: Convert to fraction form
    1,714.51/2,571.81 = 481.78/x
  3. Step 3: Cross multiply
    1,714.51x = 2,571.81 × 481.78
  4. Step 4: Simplify right side
    1,714.51x = 1,239,046.62
  5. Step 5: Solve for x
    x = 1,239,046.62/1,714.51
  6. Step 6: Final answer
    x = 722.68

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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.