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Finding the Fourth Proportional to 733.74, 1,099.93 and 368.21

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Solution

The fourth proportional to 733.74, 1,099.93 and 368.21 is: 551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.74 : 1,099.93 = 368.21 : x
  2. Step 2: Convert to fraction form
    733.74/1,099.93 = 368.21/x
  3. Step 3: Cross multiply
    733.74x = 1,099.93 × 368.21
  4. Step 4: Simplify right side
    733.74x = 405,005.23
  5. Step 5: Solve for x
    x = 405,005.23/733.74
  6. Step 6: Final answer
    x = 551.97

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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.