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Finding the Fourth Proportional to 695.60, 959.79 and 415.73

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Solution

The fourth proportional to 695.60, 959.79 and 415.73 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.60 : 959.79 = 415.73 : x
  2. Step 2: Convert to fraction form
    695.60/959.79 = 415.73/x
  3. Step 3: Cross multiply
    695.60x = 959.79 × 415.73
  4. Step 4: Simplify right side
    695.60x = 399,013.50
  5. Step 5: Solve for x
    x = 399,013.50/695.60
  6. Step 6: Final answer
    x = 573.62

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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.