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Finding the Fourth Proportional to 629.15, 943.34 and 282.42

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Solution

The fourth proportional to 629.15, 943.34 and 282.42 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.15 : 943.34 = 282.42 : x
  2. Step 2: Convert to fraction form
    629.15/943.34 = 282.42/x
  3. Step 3: Cross multiply
    629.15x = 943.34 × 282.42
  4. Step 4: Simplify right side
    629.15x = 266,418.08
  5. Step 5: Solve for x
    x = 266,418.08/629.15
  6. Step 6: Final answer
    x = 423.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.