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Finding the Fourth Proportional to 451.62, 674.11 and 419.52

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Solution

The fourth proportional to 451.62, 674.11 and 419.52 is: 626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.62 : 674.11 = 419.52 : x
  2. Step 2: Convert to fraction form
    451.62/674.11 = 419.52/x
  3. Step 3: Cross multiply
    451.62x = 674.11 × 419.52
  4. Step 4: Simplify right side
    451.62x = 282,801.58
  5. Step 5: Solve for x
    x = 282,801.58/451.62
  6. Step 6: Final answer
    x = 626.19

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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.