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Finding the Fourth Proportional to 406.94, 609.71 and 320.82

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Solution

The fourth proportional to 406.94, 609.71 and 320.82 is: 480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.94 : 609.71 = 320.82 : x
  2. Step 2: Convert to fraction form
    406.94/609.71 = 320.82/x
  3. Step 3: Cross multiply
    406.94x = 609.71 × 320.82
  4. Step 4: Simplify right side
    406.94x = 195,605.56
  5. Step 5: Solve for x
    x = 195,605.56/406.94
  6. Step 6: Final answer
    x = 480.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.