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Finding the Fourth Proportional to 496.96, 745.36 and 394.12

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Solution

The fourth proportional to 496.96, 745.36 and 394.12 is: 591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.96 : 745.36 = 394.12 : x
  2. Step 2: Convert to fraction form
    496.96/745.36 = 394.12/x
  3. Step 3: Cross multiply
    496.96x = 745.36 × 394.12
  4. Step 4: Simplify right side
    496.96x = 293,761.28
  5. Step 5: Solve for x
    x = 293,761.28/496.96
  6. Step 6: Final answer
    x = 591.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.