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Finding the Fourth Proportional to 618.16, 853.36 and 477.96

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Solution

The fourth proportional to 618.16, 853.36 and 477.96 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.16 : 853.36 = 477.96 : x
  2. Step 2: Convert to fraction form
    618.16/853.36 = 477.96/x
  3. Step 3: Cross multiply
    618.16x = 853.36 × 477.96
  4. Step 4: Simplify right side
    618.16x = 407,867.68
  5. Step 5: Solve for x
    x = 407,867.68/618.16
  6. Step 6: Final answer
    x = 659.81

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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.