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Finding the Fourth Proportional to 629.36, 863.84 and 557.84

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Solution

The fourth proportional to 629.36, 863.84 and 557.84 is: 765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.36 : 863.84 = 557.84 : x
  2. Step 2: Convert to fraction form
    629.36/863.84 = 557.84/x
  3. Step 3: Cross multiply
    629.36x = 863.84 × 557.84
  4. Step 4: Simplify right side
    629.36x = 481,877.40
  5. Step 5: Solve for x
    x = 481,877.40/629.36
  6. Step 6: Final answer
    x = 765.67

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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.