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Finding the Fourth Proportional to 457.52, 629.98 and 363.96

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Solution

The fourth proportional to 457.52, 629.98 and 363.96 is: 501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.52 : 629.98 = 363.96 : x
  2. Step 2: Convert to fraction form
    457.52/629.98 = 363.96/x
  3. Step 3: Cross multiply
    457.52x = 629.98 × 363.96
  4. Step 4: Simplify right side
    457.52x = 229,286.61
  5. Step 5: Solve for x
    x = 229,286.61/457.52
  6. Step 6: Final answer
    x = 501.16

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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.