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Finding the Fourth Proportional to 450.40, 674.31 and 395.26

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Solution

The fourth proportional to 450.40, 674.31 and 395.26 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.40 : 674.31 = 395.26 : x
  2. Step 2: Convert to fraction form
    450.40/674.31 = 395.26/x
  3. Step 3: Cross multiply
    450.40x = 674.31 × 395.26
  4. Step 4: Simplify right side
    450.40x = 266,527.77
  5. Step 5: Solve for x
    x = 266,527.77/450.40
  6. Step 6: Final answer
    x = 591.76

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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.