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Finding the Fourth Proportional to 435.45, 649.54 and 394.41

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Solution

The fourth proportional to 435.45, 649.54 and 394.41 is: 588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.45 : 649.54 = 394.41 : x
  2. Step 2: Convert to fraction form
    435.45/649.54 = 394.41/x
  3. Step 3: Cross multiply
    435.45x = 649.54 × 394.41
  4. Step 4: Simplify right side
    435.45x = 256,185.07
  5. Step 5: Solve for x
    x = 256,185.07/435.45
  6. Step 6: Final answer
    x = 588.32

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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.