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Finding the Fourth Proportional to 437.18, 602.46 and 408.63

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Solution

The fourth proportional to 437.18, 602.46 and 408.63 is: 563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.18 : 602.46 = 408.63 : x
  2. Step 2: Convert to fraction form
    437.18/602.46 = 408.63/x
  3. Step 3: Cross multiply
    437.18x = 602.46 × 408.63
  4. Step 4: Simplify right side
    437.18x = 246,179.44
  5. Step 5: Solve for x
    x = 246,179.44/437.18
  6. Step 6: Final answer
    x = 563.11

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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.