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Finding the Fourth Proportional to 721.72, 995.72 and 441.86

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Solution

The fourth proportional to 721.72, 995.72 and 441.86 is: 609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.72 : 995.72 = 441.86 : x
  2. Step 2: Convert to fraction form
    721.72/995.72 = 441.86/x
  3. Step 3: Cross multiply
    721.72x = 995.72 × 441.86
  4. Step 4: Simplify right side
    721.72x = 439,961.65
  5. Step 5: Solve for x
    x = 439,961.65/721.72
  6. Step 6: Final answer
    x = 609.60

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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.