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Finding the Fourth Proportional to 409.73, 617.32 and 355.05

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Solution

The fourth proportional to 409.73, 617.32 and 355.05 is: 534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.73 : 617.32 = 355.05 : x
  2. Step 2: Convert to fraction form
    409.73/617.32 = 355.05/x
  3. Step 3: Cross multiply
    409.73x = 617.32 × 355.05
  4. Step 4: Simplify right side
    409.73x = 219,179.91
  5. Step 5: Solve for x
    x = 219,179.91/409.73
  6. Step 6: Final answer
    x = 534.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.