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Finding the Fourth Proportional to 699.05, 964.56 and 419.21

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Solution

The fourth proportional to 699.05, 964.56 and 419.21 is: 578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.05 : 964.56 = 419.21 : x
  2. Step 2: Convert to fraction form
    699.05/964.56 = 419.21/x
  3. Step 3: Cross multiply
    699.05x = 964.56 × 419.21
  4. Step 4: Simplify right side
    699.05x = 404,348.37
  5. Step 5: Solve for x
    x = 404,348.37/699.05
  6. Step 6: Final answer
    x = 578.43

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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.