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Finding the Fourth Proportional to 676.67, 933.72 and 396.89

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Solution

The fourth proportional to 676.67, 933.72 and 396.89 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.67 : 933.72 = 396.89 : x
  2. Step 2: Convert to fraction form
    676.67/933.72 = 396.89/x
  3. Step 3: Cross multiply
    676.67x = 933.72 × 396.89
  4. Step 4: Simplify right side
    676.67x = 370,584.13
  5. Step 5: Solve for x
    x = 370,584.13/676.67
  6. Step 6: Final answer
    x = 547.66

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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.