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Finding the Fourth Proportional to 496.56, 684.54 and 385.32

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Solution

The fourth proportional to 496.56, 684.54 and 385.32 is: 531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.56 : 684.54 = 385.32 : x
  2. Step 2: Convert to fraction form
    496.56/684.54 = 385.32/x
  3. Step 3: Cross multiply
    496.56x = 684.54 × 385.32
  4. Step 4: Simplify right side
    496.56x = 263,766.95
  5. Step 5: Solve for x
    x = 263,766.95/496.56
  6. Step 6: Final answer
    x = 531.19

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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.