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Finding the Fourth Proportional to 497.20, 685.74 and 319.96

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Solution

The fourth proportional to 497.20, 685.74 and 319.96 is: 441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.20 : 685.74 = 319.96 : x
  2. Step 2: Convert to fraction form
    497.20/685.74 = 319.96/x
  3. Step 3: Cross multiply
    497.20x = 685.74 × 319.96
  4. Step 4: Simplify right side
    497.20x = 219,409.37
  5. Step 5: Solve for x
    x = 219,409.37/497.20
  6. Step 6: Final answer
    x = 441.29

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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.