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Finding the Fourth Proportional to 609.91, 842.07 and 423.34

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Solution

The fourth proportional to 609.91, 842.07 and 423.34 is: 584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.91 : 842.07 = 423.34 : x
  2. Step 2: Convert to fraction form
    609.91/842.07 = 423.34/x
  3. Step 3: Cross multiply
    609.91x = 842.07 × 423.34
  4. Step 4: Simplify right side
    609.91x = 356,481.91
  5. Step 5: Solve for x
    x = 356,481.91/609.91
  6. Step 6: Final answer
    x = 584.48

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1.5x scale

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.