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Finding the Fourth Proportional to 450.09, 671.67 and 385.05

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Solution

The fourth proportional to 450.09, 671.67 and 385.05 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.09 : 671.67 = 385.05 : x
  2. Step 2: Convert to fraction form
    450.09/671.67 = 385.05/x
  3. Step 3: Cross multiply
    450.09x = 671.67 × 385.05
  4. Step 4: Simplify right side
    450.09x = 258,626.53
  5. Step 5: Solve for x
    x = 258,626.53/450.09
  6. Step 6: Final answer
    x = 574.61

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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.