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Finding the Fourth Proportional to 436.73, 602.78 and 289.38

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Solution

The fourth proportional to 436.73, 602.78 and 289.38 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.73 : 602.78 = 289.38 : x
  2. Step 2: Convert to fraction form
    436.73/602.78 = 289.38/x
  3. Step 3: Cross multiply
    436.73x = 602.78 × 289.38
  4. Step 4: Simplify right side
    436.73x = 174,431.03
  5. Step 5: Solve for x
    x = 174,431.03/436.73
  6. Step 6: Final answer
    x = 399.41

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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.