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Finding the Fourth Proportional to 397.45, 594.83 and 348.85

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Solution

The fourth proportional to 397.45, 594.83 and 348.85 is: 522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.45 : 594.83 = 348.85 : x
  2. Step 2: Convert to fraction form
    397.45/594.83 = 348.85/x
  3. Step 3: Cross multiply
    397.45x = 594.83 × 348.85
  4. Step 4: Simplify right side
    397.45x = 207,504.70
  5. Step 5: Solve for x
    x = 207,504.70/397.45
  6. Step 6: Final answer
    x = 522.09

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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.