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Finding the Fourth Proportional to 482.49, 726.63 and 405.95

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Solution

The fourth proportional to 482.49, 726.63 and 405.95 is: 611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.49 : 726.63 = 405.95 : x
  2. Step 2: Convert to fraction form
    482.49/726.63 = 405.95/x
  3. Step 3: Cross multiply
    482.49x = 726.63 × 405.95
  4. Step 4: Simplify right side
    482.49x = 294,971.82
  5. Step 5: Solve for x
    x = 294,971.82/482.49
  6. Step 6: Final answer
    x = 611.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.