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Finding the Fourth Proportional to 733.40, 1,099.80 and 348.38

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Solution

The fourth proportional to 733.40, 1,099.80 and 348.38 is: 522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.40 : 1,099.80 = 348.38 : x
  2. Step 2: Convert to fraction form
    733.40/1,099.80 = 348.38/x
  3. Step 3: Cross multiply
    733.40x = 1,099.80 × 348.38
  4. Step 4: Simplify right side
    733.40x = 383,148.32
  5. Step 5: Solve for x
    x = 383,148.32/733.40
  6. Step 6: Final answer
    x = 522.43

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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.