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Finding the Fourth Proportional to 482.11, 721.35 and 286.39

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Solution

The fourth proportional to 482.11, 721.35 and 286.39 is: 428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.11 : 721.35 = 286.39 : x
  2. Step 2: Convert to fraction form
    482.11/721.35 = 286.39/x
  3. Step 3: Cross multiply
    482.11x = 721.35 × 286.39
  4. Step 4: Simplify right side
    482.11x = 206,587.43
  5. Step 5: Solve for x
    x = 206,587.43/482.11
  6. Step 6: Final answer
    x = 428.51

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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.