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Finding the Fourth Proportional to 695.27, 959.51 and 415.52

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Solution

The fourth proportional to 695.27, 959.51 and 415.52 is: 573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.27 : 959.51 = 415.52 : x
  2. Step 2: Convert to fraction form
    695.27/959.51 = 415.52/x
  3. Step 3: Cross multiply
    695.27x = 959.51 × 415.52
  4. Step 4: Simplify right side
    695.27x = 398,695.60
  5. Step 5: Solve for x
    x = 398,695.60/695.27
  6. Step 6: Final answer
    x = 573.44

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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.