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Finding the Fourth Proportional to 618.56, 853.46 and 352.88

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Solution

The fourth proportional to 618.56, 853.46 and 352.88 is: 486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 853.46 = 352.88 : x
  2. Step 2: Convert to fraction form
    618.56/853.46 = 352.88/x
  3. Step 3: Cross multiply
    618.56x = 853.46 × 352.88
  4. Step 4: Simplify right side
    618.56x = 301,168.96
  5. Step 5: Solve for x
    x = 301,168.96/618.56
  6. Step 6: Final answer
    x = 486.89

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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.