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Finding the Fourth Proportional to 539.29, 744.92 and 446.41

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Solution

The fourth proportional to 539.29, 744.92 and 446.41 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.29 : 744.92 = 446.41 : x
  2. Step 2: Convert to fraction form
    539.29/744.92 = 446.41/x
  3. Step 3: Cross multiply
    539.29x = 744.92 × 446.41
  4. Step 4: Simplify right side
    539.29x = 332,539.74
  5. Step 5: Solve for x
    x = 332,539.74/539.29
  6. Step 6: Final answer
    x = 616.63

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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.