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Finding the Fourth Proportional to 493.52, 680.50 and 381.23

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Solution

The fourth proportional to 493.52, 680.50 and 381.23 is: 525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.52 : 680.50 = 381.23 : x
  2. Step 2: Convert to fraction form
    493.52/680.50 = 381.23/x
  3. Step 3: Cross multiply
    493.52x = 680.50 × 381.23
  4. Step 4: Simplify right side
    493.52x = 259,427.02
  5. Step 5: Solve for x
    x = 259,427.02/493.52
  6. Step 6: Final answer
    x = 525.67

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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.