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Finding the Fourth Proportional to 412.49, 617.63 and 347.29

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Solution

The fourth proportional to 412.49, 617.63 and 347.29 is: 519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.49 : 617.63 = 347.29 : x
  2. Step 2: Convert to fraction form
    412.49/617.63 = 347.29/x
  3. Step 3: Cross multiply
    412.49x = 617.63 × 347.29
  4. Step 4: Simplify right side
    412.49x = 214,493.44
  5. Step 5: Solve for x
    x = 214,493.44/412.49
  6. Step 6: Final answer
    x = 519.99

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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.