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Finding the Fourth Proportional to 618.73, 853.13 and 513.94

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Solution

The fourth proportional to 618.73, 853.13 and 513.94 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.73 : 853.13 = 513.94 : x
  2. Step 2: Convert to fraction form
    618.73/853.13 = 513.94/x
  3. Step 3: Cross multiply
    618.73x = 853.13 × 513.94
  4. Step 4: Simplify right side
    618.73x = 438,455.06
  5. Step 5: Solve for x
    x = 438,455.06/618.73
  6. Step 6: Final answer
    x = 708.64

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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.