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Finding the Fourth Proportional to 463.49, 694.69 and 189.44

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Solution

The fourth proportional to 463.49, 694.69 and 189.44 is: 283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.49 : 694.69 = 189.44 : x
  2. Step 2: Convert to fraction form
    463.49/694.69 = 189.44/x
  3. Step 3: Cross multiply
    463.49x = 694.69 × 189.44
  4. Step 4: Simplify right side
    463.49x = 131,602.07
  5. Step 5: Solve for x
    x = 131,602.07/463.49
  6. Step 6: Final answer
    x = 283.94

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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.