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Finding the Fourth Proportional to 617.46, 851.96 and 355.43

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Solution

The fourth proportional to 617.46, 851.96 and 355.43 is: 490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 851.96 = 355.43 : x
  2. Step 2: Convert to fraction form
    617.46/851.96 = 355.43/x
  3. Step 3: Cross multiply
    617.46x = 851.96 × 355.43
  4. Step 4: Simplify right side
    617.46x = 302,806.11
  5. Step 5: Solve for x
    x = 302,806.11/617.46
  6. Step 6: Final answer
    x = 490.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.