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Finding the Fourth Proportional to 676.45, 933.56 and 381.75

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Solution

The fourth proportional to 676.45, 933.56 and 381.75 is: 526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.45 : 933.56 = 381.75 : x
  2. Step 2: Convert to fraction form
    676.45/933.56 = 381.75/x
  3. Step 3: Cross multiply
    676.45x = 933.56 × 381.75
  4. Step 4: Simplify right side
    676.45x = 356,386.53
  5. Step 5: Solve for x
    x = 356,386.53/676.45
  6. Step 6: Final answer
    x = 526.85

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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.