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Finding the Fourth Proportional to 451.75, 674.13 and 403.15

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Solution

The fourth proportional to 451.75, 674.13 and 403.15 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.75 : 674.13 = 403.15 : x
  2. Step 2: Convert to fraction form
    451.75/674.13 = 403.15/x
  3. Step 3: Cross multiply
    451.75x = 674.13 × 403.15
  4. Step 4: Simplify right side
    451.75x = 271,775.51
  5. Step 5: Solve for x
    x = 271,775.51/451.75
  6. Step 6: Final answer
    x = 601.61

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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.