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Finding the Fourth Proportional to 451.69, 676.05 and 342.88

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Solution

The fourth proportional to 451.69, 676.05 and 342.88 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.69 : 676.05 = 342.88 : x
  2. Step 2: Convert to fraction form
    451.69/676.05 = 342.88/x
  3. Step 3: Cross multiply
    451.69x = 676.05 × 342.88
  4. Step 4: Simplify right side
    451.69x = 231,804.02
  5. Step 5: Solve for x
    x = 231,804.02/451.69
  6. Step 6: Final answer
    x = 513.19

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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.