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Finding the Fourth Proportional to 537.85, 742.12 and 371.80

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Solution

The fourth proportional to 537.85, 742.12 and 371.80 is: 513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.85 : 742.12 = 371.80 : x
  2. Step 2: Convert to fraction form
    537.85/742.12 = 371.80/x
  3. Step 3: Cross multiply
    537.85x = 742.12 × 371.80
  4. Step 4: Simplify right side
    537.85x = 275,920.22
  5. Step 5: Solve for x
    x = 275,920.22/537.85
  6. Step 6: Final answer
    x = 513.01

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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.