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Finding the Fourth Proportional to 629.63, 868.89 and 353.63

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Solution

The fourth proportional to 629.63, 868.89 and 353.63 is: 488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.63 : 868.89 = 353.63 : x
  2. Step 2: Convert to fraction form
    629.63/868.89 = 353.63/x
  3. Step 3: Cross multiply
    629.63x = 868.89 × 353.63
  4. Step 4: Simplify right side
    629.63x = 307,261.23
  5. Step 5: Solve for x
    x = 307,261.23/629.63
  6. Step 6: Final answer
    x = 488.01

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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.