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Finding the Fourth Proportional to 609.91, 842.08 and 377.44

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Solution

The fourth proportional to 609.91, 842.08 and 377.44 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.91 : 842.08 = 377.44 : x
  2. Step 2: Convert to fraction form
    609.91/842.08 = 377.44/x
  3. Step 3: Cross multiply
    609.91x = 842.08 × 377.44
  4. Step 4: Simplify right side
    609.91x = 317,834.68
  5. Step 5: Solve for x
    x = 317,834.68/609.91
  6. Step 6: Final answer
    x = 521.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.