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Finding the Fourth Proportional to 589.57, 884.36 and 406.42

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Solution

The fourth proportional to 589.57, 884.36 and 406.42 is: 609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.57 : 884.36 = 406.42 : x
  2. Step 2: Convert to fraction form
    589.57/884.36 = 406.42/x
  3. Step 3: Cross multiply
    589.57x = 884.36 × 406.42
  4. Step 4: Simplify right side
    589.57x = 359,415.14
  5. Step 5: Solve for x
    x = 359,415.14/589.57
  6. Step 6: Final answer
    x = 609.62

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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.