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Finding the Fourth Proportional to 589.26, 884.21 and 428.28

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Solution

The fourth proportional to 589.26, 884.21 and 428.28 is: 642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.26 : 884.21 = 428.28 : x
  2. Step 2: Convert to fraction form
    589.26/884.21 = 428.28/x
  3. Step 3: Cross multiply
    589.26x = 884.21 × 428.28
  4. Step 4: Simplify right side
    589.26x = 378,684.00
  5. Step 5: Solve for x
    x = 378,684.00/589.26
  6. Step 6: Final answer
    x = 642.64

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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.