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Finding the Fourth Proportional to 496.51, 684.99 and 319.45

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Solution

The fourth proportional to 496.51, 684.99 and 319.45 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.51 : 684.99 = 319.45 : x
  2. Step 2: Convert to fraction form
    496.51/684.99 = 319.45/x
  3. Step 3: Cross multiply
    496.51x = 684.99 × 319.45
  4. Step 4: Simplify right side
    496.51x = 218,820.06
  5. Step 5: Solve for x
    x = 218,820.06/496.51
  6. Step 6: Final answer
    x = 440.72

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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.