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Finding the Fourth Proportional to 482.17, 726.25 and 448.37

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Solution

The fourth proportional to 482.17, 726.25 and 448.37 is: 675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.17 : 726.25 = 448.37 : x
  2. Step 2: Convert to fraction form
    482.17/726.25 = 448.37/x
  3. Step 3: Cross multiply
    482.17x = 726.25 × 448.37
  4. Step 4: Simplify right side
    482.17x = 325,628.71
  5. Step 5: Solve for x
    x = 325,628.71/482.17
  6. Step 6: Final answer
    x = 675.35

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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.