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Finding the Fourth Proportional to 463.25, 639.09 and 315.83

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Solution

The fourth proportional to 463.25, 639.09 and 315.83 is: 435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.25 : 639.09 = 315.83 : x
  2. Step 2: Convert to fraction form
    463.25/639.09 = 315.83/x
  3. Step 3: Cross multiply
    463.25x = 639.09 × 315.83
  4. Step 4: Simplify right side
    463.25x = 201,845.39
  5. Step 5: Solve for x
    x = 201,845.39/463.25
  6. Step 6: Final answer
    x = 435.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.