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Finding the Fourth Proportional to 400.44, 604.47 and 396.12

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Solution

The fourth proportional to 400.44, 604.47 and 396.12 is: 597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.44 : 604.47 = 396.12 : x
  2. Step 2: Convert to fraction form
    400.44/604.47 = 396.12/x
  3. Step 3: Cross multiply
    400.44x = 604.47 × 396.12
  4. Step 4: Simplify right side
    400.44x = 239,442.66
  5. Step 5: Solve for x
    x = 239,442.66/400.44
  6. Step 6: Final answer
    x = 597.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.