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Finding the Fourth Proportional to 412.29, 621.75 and 406.80

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Solution

The fourth proportional to 412.29, 621.75 and 406.80 is: 613.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 621.75 = 406.80 : x
  2. Step 2: Convert to fraction form
    412.29/621.75 = 406.80/x
  3. Step 3: Cross multiply
    412.29x = 621.75 × 406.80
  4. Step 4: Simplify right side
    412.29x = 252,927.90
  5. Step 5: Solve for x
    x = 252,927.90/412.29
  6. Step 6: Final answer
    x = 613.47

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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.