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Finding the Fourth Proportional to 450.15, 674.61 and 327.84

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Solution

The fourth proportional to 450.15, 674.61 and 327.84 is: 491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.15 : 674.61 = 327.84 : x
  2. Step 2: Convert to fraction form
    450.15/674.61 = 327.84/x
  3. Step 3: Cross multiply
    450.15x = 674.61 × 327.84
  4. Step 4: Simplify right side
    450.15x = 221,160.77
  5. Step 5: Solve for x
    x = 221,160.77/450.15
  6. Step 6: Final answer
    x = 491.31

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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.