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Finding the Fourth Proportional to 665.82, 919.22 and 441.77

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Solution

The fourth proportional to 665.82, 919.22 and 441.77 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 919.22 = 441.77 : x
  2. Step 2: Convert to fraction form
    665.82/919.22 = 441.77/x
  3. Step 3: Cross multiply
    665.82x = 919.22 × 441.77
  4. Step 4: Simplify right side
    665.82x = 406,077.01
  5. Step 5: Solve for x
    x = 406,077.01/665.82
  6. Step 6: Final answer
    x = 609.89

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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.