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Finding the Fourth Proportional to 676.50, 933.61 and 381.76

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Solution

The fourth proportional to 676.50, 933.61 and 381.76 is: 526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.50 : 933.61 = 381.76 : x
  2. Step 2: Convert to fraction form
    676.50/933.61 = 381.76/x
  3. Step 3: Cross multiply
    676.50x = 933.61 × 381.76
  4. Step 4: Simplify right side
    676.50x = 356,410.29
  5. Step 5: Solve for x
    x = 356,410.29/676.50
  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.