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Finding the Fourth Proportional to 705.75, 973.78 and 519.27

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Solution

The fourth proportional to 705.75, 973.78 and 519.27 is: 716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.75 : 973.78 = 519.27 : x
  2. Step 2: Convert to fraction form
    705.75/973.78 = 519.27/x
  3. Step 3: Cross multiply
    705.75x = 973.78 × 519.27
  4. Step 4: Simplify right side
    705.75x = 505,653.44
  5. Step 5: Solve for x
    x = 505,653.44/705.75
  6. Step 6: Final answer
    x = 716.48

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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.