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Finding the Fourth Proportional to 497.99, 744.79 and 443.54

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Solution

The fourth proportional to 497.99, 744.79 and 443.54 is: 663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.99 : 744.79 = 443.54 : x
  2. Step 2: Convert to fraction form
    497.99/744.79 = 443.54/x
  3. Step 3: Cross multiply
    497.99x = 744.79 × 443.54
  4. Step 4: Simplify right side
    497.99x = 330,344.16
  5. Step 5: Solve for x
    x = 330,344.16/497.99
  6. Step 6: Final answer
    x = 663.36

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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.