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Finding the Fourth Proportional to 463.36, 635.60 and 453.76

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Solution

The fourth proportional to 463.36, 635.60 and 453.76 is: 622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.36 : 635.60 = 453.76 : x
  2. Step 2: Convert to fraction form
    463.36/635.60 = 453.76/x
  3. Step 3: Cross multiply
    463.36x = 635.60 × 453.76
  4. Step 4: Simplify right side
    463.36x = 288,409.86
  5. Step 5: Solve for x
    x = 288,409.86/463.36
  6. Step 6: Final answer
    x = 622.43

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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.