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Finding the Fourth Proportional to 733.39, 1,100.49 and 348.64

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Solution

The fourth proportional to 733.39, 1,100.49 and 348.64 is: 523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.39 : 1,100.49 = 348.64 : x
  2. Step 2: Convert to fraction form
    733.39/1,100.49 = 348.64/x
  3. Step 3: Cross multiply
    733.39x = 1,100.49 × 348.64
  4. Step 4: Simplify right side
    733.39x = 383,674.83
  5. Step 5: Solve for x
    x = 383,674.83/733.39
  6. Step 6: Final answer
    x = 523.15

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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.