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Finding the Fourth Proportional to 906.26, 1,358.91 and 321.17

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Solution

The fourth proportional to 906.26, 1,358.91 and 321.17 is: 481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.26 : 1,358.91 = 321.17 : x
  2. Step 2: Convert to fraction form
    906.26/1,358.91 = 321.17/x
  3. Step 3: Cross multiply
    906.26x = 1,358.91 × 321.17
  4. Step 4: Simplify right side
    906.26x = 436,434.33
  5. Step 5: Solve for x
    x = 436,434.33/906.26
  6. Step 6: Final answer
    x = 481.58

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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.