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Finding the Fourth Proportional to 426.85, 641.04 and 354.73

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Solution

The fourth proportional to 426.85, 641.04 and 354.73 is: 532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.85 : 641.04 = 354.73 : x
  2. Step 2: Convert to fraction form
    426.85/641.04 = 354.73/x
  3. Step 3: Cross multiply
    426.85x = 641.04 × 354.73
  4. Step 4: Simplify right side
    426.85x = 227,396.12
  5. Step 5: Solve for x
    x = 227,396.12/426.85
  6. Step 6: Final answer
    x = 532.73

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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.