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Finding the Fourth Proportional to 498.82, 748.55 and 445.36

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Solution

The fourth proportional to 498.82, 748.55 and 445.36 is: 668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.82 : 748.55 = 445.36 : x
  2. Step 2: Convert to fraction form
    498.82/748.55 = 445.36/x
  3. Step 3: Cross multiply
    498.82x = 748.55 × 445.36
  4. Step 4: Simplify right side
    498.82x = 333,374.23
  5. Step 5: Solve for x
    x = 333,374.23/498.82
  6. Step 6: Final answer
    x = 668.33

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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.