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Finding the Fourth Proportional to 596.26, 821.83 and 419.28

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Solution

The fourth proportional to 596.26, 821.83 and 419.28 is: 577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.26 : 821.83 = 419.28 : x
  2. Step 2: Convert to fraction form
    596.26/821.83 = 419.28/x
  3. Step 3: Cross multiply
    596.26x = 821.83 × 419.28
  4. Step 4: Simplify right side
    596.26x = 344,576.88
  5. Step 5: Solve for x
    x = 344,576.88/596.26
  6. Step 6: Final answer
    x = 577.90

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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.