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Finding the Fourth Proportional to 412.78, 619.29 and 367.45

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Solution

The fourth proportional to 412.78, 619.29 and 367.45 is: 551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 619.29 = 367.45 : x
  2. Step 2: Convert to fraction form
    412.78/619.29 = 367.45/x
  3. Step 3: Cross multiply
    412.78x = 619.29 × 367.45
  4. Step 4: Simplify right side
    412.78x = 227,557.03
  5. Step 5: Solve for x
    x = 227,557.03/412.78
  6. Step 6: Final answer
    x = 551.28

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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.