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Finding the Fourth Proportional to 451.44, 676.78 and 411.32

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Solution

The fourth proportional to 451.44, 676.78 and 411.32 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.44 : 676.78 = 411.32 : x
  2. Step 2: Convert to fraction form
    451.44/676.78 = 411.32/x
  3. Step 3: Cross multiply
    451.44x = 676.78 × 411.32
  4. Step 4: Simplify right side
    451.44x = 278,373.15
  5. Step 5: Solve for x
    x = 278,373.15/451.44
  6. Step 6: Final answer
    x = 616.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.