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Finding the Fourth Proportional to 629.63, 940.31 and 543.14

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Solution

The fourth proportional to 629.63, 940.31 and 543.14 is: 811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.63 : 940.31 = 543.14 : x
  2. Step 2: Convert to fraction form
    629.63/940.31 = 543.14/x
  3. Step 3: Cross multiply
    629.63x = 940.31 × 543.14
  4. Step 4: Simplify right side
    629.63x = 510,716.63
  5. Step 5: Solve for x
    x = 510,716.63/629.63
  6. Step 6: Final answer
    x = 811.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.