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Finding the Fourth Proportional to 436.11, 649.49 and 428.44

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Solution

The fourth proportional to 436.11, 649.49 and 428.44 is: 638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.11 : 649.49 = 428.44 : x
  2. Step 2: Convert to fraction form
    436.11/649.49 = 428.44/x
  3. Step 3: Cross multiply
    436.11x = 649.49 × 428.44
  4. Step 4: Simplify right side
    436.11x = 278,268.56
  5. Step 5: Solve for x
    x = 278,268.56/436.11
  6. Step 6: Final answer
    x = 638.07

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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.