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Finding the Fourth Proportional to 496.24, 685.04 and 319.46

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Solution

The fourth proportional to 496.24, 685.04 and 319.46 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.24 : 685.04 = 319.46 : x
  2. Step 2: Convert to fraction form
    496.24/685.04 = 319.46/x
  3. Step 3: Cross multiply
    496.24x = 685.04 × 319.46
  4. Step 4: Simplify right side
    496.24x = 218,837.86
  5. Step 5: Solve for x
    x = 218,837.86/496.24
  6. Step 6: Final answer
    x = 440.99

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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.