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Finding the Fourth Proportional to 699.39, 965.08 and 419.57

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Solution

The fourth proportional to 699.39, 965.08 and 419.57 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.39 : 965.08 = 419.57 : x
  2. Step 2: Convert to fraction form
    699.39/965.08 = 419.57/x
  3. Step 3: Cross multiply
    699.39x = 965.08 × 419.57
  4. Step 4: Simplify right side
    699.39x = 404,918.62
  5. Step 5: Solve for x
    x = 404,918.62/699.39
  6. Step 6: Final answer
    x = 578.96

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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.