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Finding the Fourth Proportional to 408.42, 612.63 and 374.09

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Solution

The fourth proportional to 408.42, 612.63 and 374.09 is: 561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 612.63 = 374.09 : x
  2. Step 2: Convert to fraction form
    408.42/612.63 = 374.09/x
  3. Step 3: Cross multiply
    408.42x = 612.63 × 374.09
  4. Step 4: Simplify right side
    408.42x = 229,175.69
  5. Step 5: Solve for x
    x = 229,175.69/408.42
  6. Step 6: Final answer
    x = 561.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.