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Finding the Fourth Proportional to 537.85, 742.93 and 444.97

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Solution

The fourth proportional to 537.85, 742.93 and 444.97 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.85 : 742.93 = 444.97 : x
  2. Step 2: Convert to fraction form
    537.85/742.93 = 444.97/x
  3. Step 3: Cross multiply
    537.85x = 742.93 × 444.97
  4. Step 4: Simplify right side
    537.85x = 330,581.56
  5. Step 5: Solve for x
    x = 330,581.56/537.85
  6. Step 6: Final answer
    x = 614.64

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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.