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Finding the Fourth Proportional to 412.07, 620.89 and 367.86

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Solution

The fourth proportional to 412.07, 620.89 and 367.86 is: 554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.07 : 620.89 = 367.86 : x
  2. Step 2: Convert to fraction form
    412.07/620.89 = 367.86/x
  3. Step 3: Cross multiply
    412.07x = 620.89 × 367.86
  4. Step 4: Simplify right side
    412.07x = 228,400.60
  5. Step 5: Solve for x
    x = 228,400.60/412.07
  6. Step 6: Final answer
    x = 554.28

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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.