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Finding the Fourth Proportional to 618.03, 925.22 and 412.09

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Solution

The fourth proportional to 618.03, 925.22 and 412.09 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.03 : 925.22 = 412.09 : x
  2. Step 2: Convert to fraction form
    618.03/925.22 = 412.09/x
  3. Step 3: Cross multiply
    618.03x = 925.22 × 412.09
  4. Step 4: Simplify right side
    618.03x = 381,272.63
  5. Step 5: Solve for x
    x = 381,272.63/618.03
  6. Step 6: Final answer
    x = 616.92

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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.