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Finding the Fourth Proportional to 695.37, 959.43 and 415.49

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Solution

The fourth proportional to 695.37, 959.43 and 415.49 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.37 : 959.43 = 415.49 : x
  2. Step 2: Convert to fraction form
    695.37/959.43 = 415.49/x
  3. Step 3: Cross multiply
    695.37x = 959.43 × 415.49
  4. Step 4: Simplify right side
    695.37x = 398,630.33
  5. Step 5: Solve for x
    x = 398,630.33/695.37
  6. Step 6: Final answer
    x = 573.26

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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.