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Finding the Fourth Proportional to 484.25, 726.38 and 459.63

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Solution

The fourth proportional to 484.25, 726.38 and 459.63 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.25 : 726.38 = 459.63 : x
  2. Step 2: Convert to fraction form
    484.25/726.38 = 459.63/x
  3. Step 3: Cross multiply
    484.25x = 726.38 × 459.63
  4. Step 4: Simplify right side
    484.25x = 333,863.74
  5. Step 5: Solve for x
    x = 333,863.74/484.25
  6. Step 6: Final answer
    x = 689.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.