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Finding the Fourth Proportional to 618.05, 851.59 and 478.19

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Solution

The fourth proportional to 618.05, 851.59 and 478.19 is: 658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.05 : 851.59 = 478.19 : x
  2. Step 2: Convert to fraction form
    618.05/851.59 = 478.19/x
  3. Step 3: Cross multiply
    618.05x = 851.59 × 478.19
  4. Step 4: Simplify right side
    618.05x = 407,221.82
  5. Step 5: Solve for x
    x = 407,221.82/618.05
  6. Step 6: Final answer
    x = 658.88

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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.