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Finding the Fourth Proportional to 643.82, 965.58 and 319.12

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Solution

The fourth proportional to 643.82, 965.58 and 319.12 is: 478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.82 : 965.58 = 319.12 : x
  2. Step 2: Convert to fraction form
    643.82/965.58 = 319.12/x
  3. Step 3: Cross multiply
    643.82x = 965.58 × 319.12
  4. Step 4: Simplify right side
    643.82x = 308,135.89
  5. Step 5: Solve for x
    x = 308,135.89/643.82
  6. Step 6: Final answer
    x = 478.61

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