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Finding the Fourth Proportional to 537.70, 742.92 and 422.14

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Solution

The fourth proportional to 537.70, 742.92 and 422.14 is: 583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.70 : 742.92 = 422.14 : x
  2. Step 2: Convert to fraction form
    537.70/742.92 = 422.14/x
  3. Step 3: Cross multiply
    537.70x = 742.92 × 422.14
  4. Step 4: Simplify right side
    537.70x = 313,616.25
  5. Step 5: Solve for x
    x = 313,616.25/537.70
  6. Step 6: Final answer
    x = 583.26

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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.