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Finding the Fourth Proportional to 733.48, 1,100.32 and 246.42

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Solution

The fourth proportional to 733.48, 1,100.32 and 246.42 is: 369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.48 : 1,100.32 = 246.42 : x
  2. Step 2: Convert to fraction form
    733.48/1,100.32 = 246.42/x
  3. Step 3: Cross multiply
    733.48x = 1,100.32 × 246.42
  4. Step 4: Simplify right side
    733.48x = 271,140.85
  5. Step 5: Solve for x
    x = 271,140.85/733.48
  6. Step 6: Final answer
    x = 369.66

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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.