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Finding the Fourth Proportional to 412.32, 620.76 and 341.28

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Solution

The fourth proportional to 412.32, 620.76 and 341.28 is: 513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 620.76 = 341.28 : x
  2. Step 2: Convert to fraction form
    412.32/620.76 = 341.28/x
  3. Step 3: Cross multiply
    412.32x = 620.76 × 341.28
  4. Step 4: Simplify right side
    412.32x = 211,852.97
  5. Step 5: Solve for x
    x = 211,852.97/412.32
  6. Step 6: Final answer
    x = 513.81

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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.