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Finding the Fourth Proportional to 389.54, 582.92 and 286.58

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Solution

The fourth proportional to 389.54, 582.92 and 286.58 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.54 : 582.92 = 286.58 : x
  2. Step 2: Convert to fraction form
    389.54/582.92 = 286.58/x
  3. Step 3: Cross multiply
    389.54x = 582.92 × 286.58
  4. Step 4: Simplify right side
    389.54x = 167,053.21
  5. Step 5: Solve for x
    x = 167,053.21/389.54
  6. Step 6: Final answer
    x = 428.85

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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.