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Finding the Fourth Proportional to 589.63, 884.84 and 406.70

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Solution

The fourth proportional to 589.63, 884.84 and 406.70 is: 610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.63 : 884.84 = 406.70 : x
  2. Step 2: Convert to fraction form
    589.63/884.84 = 406.70/x
  3. Step 3: Cross multiply
    589.63x = 884.84 × 406.70
  4. Step 4: Simplify right side
    589.63x = 359,861.09
  5. Step 5: Solve for x
    x = 359,861.09/589.63
  6. Step 6: Final answer
    x = 610.32

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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.