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Finding the Fourth Proportional to 493.56, 741.56 and 448.61

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Solution

The fourth proportional to 493.56, 741.56 and 448.61 is: 674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.56 : 741.56 = 448.61 : x
  2. Step 2: Convert to fraction form
    493.56/741.56 = 448.61/x
  3. Step 3: Cross multiply
    493.56x = 741.56 × 448.61
  4. Step 4: Simplify right side
    493.56x = 332,665.28
  5. Step 5: Solve for x
    x = 332,665.28/493.56
  6. Step 6: Final answer
    x = 674.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.