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Finding the Fourth Proportional to 438.06, 604.42 and 408.63

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Solution

The fourth proportional to 438.06, 604.42 and 408.63 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 604.42 = 408.63 : x
  2. Step 2: Convert to fraction form
    438.06/604.42 = 408.63/x
  3. Step 3: Cross multiply
    438.06x = 604.42 × 408.63
  4. Step 4: Simplify right side
    438.06x = 246,984.14
  5. Step 5: Solve for x
    x = 246,984.14/438.06
  6. Step 6: Final answer
    x = 563.81

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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.