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Finding the Fourth Proportional to 493.76, 678.48 and 441.92

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Solution

The fourth proportional to 493.76, 678.48 and 441.92 is: 607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.76 : 678.48 = 441.92 : x
  2. Step 2: Convert to fraction form
    493.76/678.48 = 441.92/x
  3. Step 3: Cross multiply
    493.76x = 678.48 × 441.92
  4. Step 4: Simplify right side
    493.76x = 299,833.88
  5. Step 5: Solve for x
    x = 299,833.88/493.76
  6. Step 6: Final answer
    x = 607.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.