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Finding the Fourth Proportional to 906.38, 1,359.39 and 289.92

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Solution

The fourth proportional to 906.38, 1,359.39 and 289.92 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.38 : 1,359.39 = 289.92 : x
  2. Step 2: Convert to fraction form
    906.38/1,359.39 = 289.92/x
  3. Step 3: Cross multiply
    906.38x = 1,359.39 × 289.92
  4. Step 4: Simplify right side
    906.38x = 394,114.35
  5. Step 5: Solve for x
    x = 394,114.35/906.38
  6. Step 6: Final answer
    x = 434.82

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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.