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Finding the Fourth Proportional to 457.09, 635.01 and 452.82

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Solution

The fourth proportional to 457.09, 635.01 and 452.82 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.09 : 635.01 = 452.82 : x
  2. Step 2: Convert to fraction form
    457.09/635.01 = 452.82/x
  3. Step 3: Cross multiply
    457.09x = 635.01 × 452.82
  4. Step 4: Simplify right side
    457.09x = 287,545.23
  5. Step 5: Solve for x
    x = 287,545.23/457.09
  6. Step 6: Final answer
    x = 629.08

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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.