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Finding the Fourth Proportional to 629.86, 866.82 and 518.90

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Solution

The fourth proportional to 629.86, 866.82 and 518.90 is: 714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.86 : 866.82 = 518.90 : x
  2. Step 2: Convert to fraction form
    629.86/866.82 = 518.90/x
  3. Step 3: Cross multiply
    629.86x = 866.82 × 518.90
  4. Step 4: Simplify right side
    629.86x = 449,792.90
  5. Step 5: Solve for x
    x = 449,792.90/629.86
  6. Step 6: Final answer
    x = 714.12

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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.