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Finding the Fourth Proportional to 738.11, 1,105.62 and 348.44

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Solution

The fourth proportional to 738.11, 1,105.62 and 348.44 is: 521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.11 : 1,105.62 = 348.44 : x
  2. Step 2: Convert to fraction form
    738.11/1,105.62 = 348.44/x
  3. Step 3: Cross multiply
    738.11x = 1,105.62 × 348.44
  4. Step 4: Simplify right side
    738.11x = 385,236.70
  5. Step 5: Solve for x
    x = 385,236.70/738.11
  6. Step 6: Final answer
    x = 521.93

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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.