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Finding the Fourth Proportional to 584.26, 874.80 and 389.56

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Solution

The fourth proportional to 584.26, 874.80 and 389.56 is: 583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.26 : 874.80 = 389.56 : x
  2. Step 2: Convert to fraction form
    584.26/874.80 = 389.56/x
  3. Step 3: Cross multiply
    584.26x = 874.80 × 389.56
  4. Step 4: Simplify right side
    584.26x = 340,786.54
  5. Step 5: Solve for x
    x = 340,786.54/584.26
  6. Step 6: Final answer
    x = 583.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.