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Finding the Fourth Proportional to 463.79, 635.88 and 455.49

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Solution

The fourth proportional to 463.79, 635.88 and 455.49 is: 624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.79 : 635.88 = 455.49 : x
  2. Step 2: Convert to fraction form
    463.79/635.88 = 455.49/x
  3. Step 3: Cross multiply
    463.79x = 635.88 × 455.49
  4. Step 4: Simplify right side
    463.79x = 289,638.69
  5. Step 5: Solve for x
    x = 289,638.69/463.79
  6. Step 6: Final answer
    x = 624.50

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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.