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Finding the Fourth Proportional to 496.09, 684.61 and 275.06

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Solution

The fourth proportional to 496.09, 684.61 and 275.06 is: 379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.09 : 684.61 = 275.06 : x
  2. Step 2: Convert to fraction form
    496.09/684.61 = 275.06/x
  3. Step 3: Cross multiply
    496.09x = 684.61 × 275.06
  4. Step 4: Simplify right side
    496.09x = 188,304.72
  5. Step 5: Solve for x
    x = 188,304.72/496.09
  6. Step 6: Final answer
    x = 379.58

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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.