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Finding the Fourth Proportional to 489.73, 674.67 and 405.37

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Solution

The fourth proportional to 489.73, 674.67 and 405.37 is: 558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.73 : 674.67 = 405.37 : x
  2. Step 2: Convert to fraction form
    489.73/674.67 = 405.37/x
  3. Step 3: Cross multiply
    489.73x = 674.67 × 405.37
  4. Step 4: Simplify right side
    489.73x = 273,490.98
  5. Step 5: Solve for x
    x = 273,490.98/489.73
  6. Step 6: Final answer
    x = 558.45

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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.