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Finding the Fourth Proportional to 538.05, 742.41 and 454.98

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Solution

The fourth proportional to 538.05, 742.41 and 454.98 is: 627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.05 : 742.41 = 454.98 : x
  2. Step 2: Convert to fraction form
    538.05/742.41 = 454.98/x
  3. Step 3: Cross multiply
    538.05x = 742.41 × 454.98
  4. Step 4: Simplify right side
    538.05x = 337,781.70
  5. Step 5: Solve for x
    x = 337,781.70/538.05
  6. Step 6: Final answer
    x = 627.79

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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.