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Finding the Fourth Proportional to 464.05, 639.01 and 316.43

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Solution

The fourth proportional to 464.05, 639.01 and 316.43 is: 435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 639.01 = 316.43 : x
  2. Step 2: Convert to fraction form
    464.05/639.01 = 316.43/x
  3. Step 3: Cross multiply
    464.05x = 639.01 × 316.43
  4. Step 4: Simplify right side
    464.05x = 202,204.22
  5. Step 5: Solve for x
    x = 202,204.22/464.05
  6. Step 6: Final answer
    x = 435.73

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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.