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Finding the Fourth Proportional to 699.36, 965.25 and 419.82

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Solution

The fourth proportional to 699.36, 965.25 and 419.82 is: 579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.36 : 965.25 = 419.82 : x
  2. Step 2: Convert to fraction form
    699.36/965.25 = 419.82/x
  3. Step 3: Cross multiply
    699.36x = 965.25 × 419.82
  4. Step 4: Simplify right side
    699.36x = 405,231.26
  5. Step 5: Solve for x
    x = 405,231.26/699.36
  6. Step 6: Final answer
    x = 579.43

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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.