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Finding the Fourth Proportional to 460.44, 636.12 and 453.96

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Solution

The fourth proportional to 460.44, 636.12 and 453.96 is: 627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 636.12 = 453.96 : x
  2. Step 2: Convert to fraction form
    460.44/636.12 = 453.96/x
  3. Step 3: Cross multiply
    460.44x = 636.12 × 453.96
  4. Step 4: Simplify right side
    460.44x = 288,773.04
  5. Step 5: Solve for x
    x = 288,773.04/460.44
  6. Step 6: Final answer
    x = 627.17

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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.