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Finding the Fourth Proportional to 676.82, 933.36 and 411.31

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Solution

The fourth proportional to 676.82, 933.36 and 411.31 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.82 : 933.36 = 411.31 : x
  2. Step 2: Convert to fraction form
    676.82/933.36 = 411.31/x
  3. Step 3: Cross multiply
    676.82x = 933.36 × 411.31
  4. Step 4: Simplify right side
    676.82x = 383,896.66
  5. Step 5: Solve for x
    x = 383,896.66/676.82
  6. Step 6: Final answer
    x = 567.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.