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Finding the Fourth Proportional to 493.11, 678.84 and 382.54

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Solution

The fourth proportional to 493.11, 678.84 and 382.54 is: 526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.11 : 678.84 = 382.54 : x
  2. Step 2: Convert to fraction form
    493.11/678.84 = 382.54/x
  3. Step 3: Cross multiply
    493.11x = 678.84 × 382.54
  4. Step 4: Simplify right side
    493.11x = 259,683.45
  5. Step 5: Solve for x
    x = 259,683.45/493.11
  6. Step 6: Final answer
    x = 526.62

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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.