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Finding the Fourth Proportional to 618.48, 852.85 and 397.25

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Solution

The fourth proportional to 618.48, 852.85 and 397.25 is: 547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.48 : 852.85 = 397.25 : x
  2. Step 2: Convert to fraction form
    618.48/852.85 = 397.25/x
  3. Step 3: Cross multiply
    618.48x = 852.85 × 397.25
  4. Step 4: Simplify right side
    618.48x = 338,789.41
  5. Step 5: Solve for x
    x = 338,789.41/618.48
  6. Step 6: Final answer
    x = 547.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.