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Finding the Fourth Proportional to 496.32, 684.78 and 321.78

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Solution

The fourth proportional to 496.32, 684.78 and 321.78 is: 443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.32 : 684.78 = 321.78 : x
  2. Step 2: Convert to fraction form
    496.32/684.78 = 321.78/x
  3. Step 3: Cross multiply
    496.32x = 684.78 × 321.78
  4. Step 4: Simplify right side
    496.32x = 220,348.51
  5. Step 5: Solve for x
    x = 220,348.51/496.32
  6. Step 6: Final answer
    x = 443.96

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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.