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Finding the Fourth Proportional to 463.98, 636.08 and 455.78

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Solution

The fourth proportional to 463.98, 636.08 and 455.78 is: 624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 636.08 = 455.78 : x
  2. Step 2: Convert to fraction form
    463.98/636.08 = 455.78/x
  3. Step 3: Cross multiply
    463.98x = 636.08 × 455.78
  4. Step 4: Simplify right side
    463.98x = 289,912.54
  5. Step 5: Solve for x
    x = 289,912.54/463.98
  6. Step 6: Final answer
    x = 624.84

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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.