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Finding the Fourth Proportional to 496.42, 685.07 and 286.57

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Solution

The fourth proportional to 496.42, 685.07 and 286.57 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.42 : 685.07 = 286.57 : x
  2. Step 2: Convert to fraction form
    496.42/685.07 = 286.57/x
  3. Step 3: Cross multiply
    496.42x = 685.07 × 286.57
  4. Step 4: Simplify right side
    496.42x = 196,320.51
  5. Step 5: Solve for x
    x = 196,320.51/496.42
  6. Step 6: Final answer
    x = 395.47

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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.