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Finding the Fourth Proportional to 463.44, 635.76 and 420.96

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Solution

The fourth proportional to 463.44, 635.76 and 420.96 is: 577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.44 : 635.76 = 420.96 : x
  2. Step 2: Convert to fraction form
    463.44/635.76 = 420.96/x
  3. Step 3: Cross multiply
    463.44x = 635.76 × 420.96
  4. Step 4: Simplify right side
    463.44x = 267,629.53
  5. Step 5: Solve for x
    x = 267,629.53/463.44
  6. Step 6: Final answer
    x = 577.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.