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Finding the Fourth Proportional to 676.33, 933.28 and 396.34

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Solution

The fourth proportional to 676.33, 933.28 and 396.34 is: 546.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.33 : 933.28 = 396.34 : x
  2. Step 2: Convert to fraction form
    676.33/933.28 = 396.34/x
  3. Step 3: Cross multiply
    676.33x = 933.28 × 396.34
  4. Step 4: Simplify right side
    676.33x = 369,892.87
  5. Step 5: Solve for x
    x = 369,892.87/676.33
  6. Step 6: Final answer
    x = 546.91

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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.