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Finding the Fourth Proportional to 457.26, 635.39 and 452.50

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Solution

The fourth proportional to 457.26, 635.39 and 452.50 is: 628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.26 : 635.39 = 452.50 : x
  2. Step 2: Convert to fraction form
    457.26/635.39 = 452.50/x
  3. Step 3: Cross multiply
    457.26x = 635.39 × 452.50
  4. Step 4: Simplify right side
    457.26x = 287,511.82
  5. Step 5: Solve for x
    x = 287,511.82/457.26
  6. Step 6: Final answer
    x = 628.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.