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Finding the Fourth Proportional to 573.27, 789.08 and 490.11

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Solution

The fourth proportional to 573.27, 789.08 and 490.11 is: 674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.27 : 789.08 = 490.11 : x
  2. Step 2: Convert to fraction form
    573.27/789.08 = 490.11/x
  3. Step 3: Cross multiply
    573.27x = 789.08 × 490.11
  4. Step 4: Simplify right side
    573.27x = 386,733.55
  5. Step 5: Solve for x
    x = 386,733.55/573.27
  6. Step 6: Final answer
    x = 674.61

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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.