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Finding the Fourth Proportional to 416.73, 621.31 and 405.91

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Solution

The fourth proportional to 416.73, 621.31 and 405.91 is: 605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 621.31 = 405.91 : x
  2. Step 2: Convert to fraction form
    416.73/621.31 = 405.91/x
  3. Step 3: Cross multiply
    416.73x = 621.31 × 405.91
  4. Step 4: Simplify right side
    416.73x = 252,195.86
  5. Step 5: Solve for x
    x = 252,195.86/416.73
  6. Step 6: Final answer
    x = 605.18

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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.