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Finding the Fourth Proportional to 496.53, 685.19 and 286.77

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Solution

The fourth proportional to 496.53, 685.19 and 286.77 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 685.19 = 286.77 : x
  2. Step 2: Convert to fraction form
    496.53/685.19 = 286.77/x
  3. Step 3: Cross multiply
    496.53x = 685.19 × 286.77
  4. Step 4: Simplify right side
    496.53x = 196,495.22
  5. Step 5: Solve for x
    x = 196,495.22/496.53
  6. Step 6: Final answer
    x = 395.74

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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.