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Finding the Fourth Proportional to 609.20, 913.03 and 389.74

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Solution

The fourth proportional to 609.20, 913.03 and 389.74 is: 584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.20 : 913.03 = 389.74 : x
  2. Step 2: Convert to fraction form
    609.20/913.03 = 389.74/x
  3. Step 3: Cross multiply
    609.20x = 913.03 × 389.74
  4. Step 4: Simplify right side
    609.20x = 355,842.36
  5. Step 5: Solve for x
    x = 355,842.36/609.20
  6. Step 6: Final answer
    x = 584.11

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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.