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Finding the Fourth Proportional to 609.77, 842.22 and 443.72

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Solution

The fourth proportional to 609.77, 842.22 and 443.72 is: 612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.77 : 842.22 = 443.72 : x
  2. Step 2: Convert to fraction form
    609.77/842.22 = 443.72/x
  3. Step 3: Cross multiply
    609.77x = 842.22 × 443.72
  4. Step 4: Simplify right side
    609.77x = 373,709.86
  5. Step 5: Solve for x
    x = 373,709.86/609.77
  6. Step 6: Final answer
    x = 612.87

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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.