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Finding the Fourth Proportional to 496.85, 685.69 and 275.87

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Solution

The fourth proportional to 496.85, 685.69 and 275.87 is: 380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.85 : 685.69 = 275.87 : x
  2. Step 2: Convert to fraction form
    496.85/685.69 = 275.87/x
  3. Step 3: Cross multiply
    496.85x = 685.69 × 275.87
  4. Step 4: Simplify right side
    496.85x = 189,161.30
  5. Step 5: Solve for x
    x = 189,161.30/496.85
  6. Step 6: Final answer
    x = 380.72

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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.