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Finding the Fourth Proportional to 496.32, 683.94 and 403.32

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Solution

The fourth proportional to 496.32, 683.94 and 403.32 is: 555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.32 : 683.94 = 403.32 : x
  2. Step 2: Convert to fraction form
    496.32/683.94 = 403.32/x
  3. Step 3: Cross multiply
    496.32x = 683.94 × 403.32
  4. Step 4: Simplify right side
    496.32x = 275,846.68
  5. Step 5: Solve for x
    x = 275,846.68/496.32
  6. Step 6: Final answer
    x = 555.78

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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.