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Finding the Fourth Proportional to 906.50, 1,358.46 and 733.58

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Solution

The fourth proportional to 906.50, 1,358.46 and 733.58 is: 1,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.50 : 1,358.46 = 733.58 : x
  2. Step 2: Convert to fraction form
    906.50/1,358.46 = 733.58/x
  3. Step 3: Cross multiply
    906.50x = 1,358.46 × 733.58
  4. Step 4: Simplify right side
    906.50x = 996,539.09
  5. Step 5: Solve for x
    x = 996,539.09/906.50
  6. Step 6: Final answer
    x = 1,099.33

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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.