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Finding the Fourth Proportional to 496.50, 685.20 and 286.72

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Solution

The fourth proportional to 496.50, 685.20 and 286.72 is: 395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.50 : 685.20 = 286.72 : x
  2. Step 2: Convert to fraction form
    496.50/685.20 = 286.72/x
  3. Step 3: Cross multiply
    496.50x = 685.20 × 286.72
  4. Step 4: Simplify right side
    496.50x = 196,458.26
  5. Step 5: Solve for x
    x = 196,458.26/496.50
  6. Step 6: Final answer
    x = 395.69

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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.