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Finding the Fourth Proportional to 695.52, 959.76 and 415.77

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Solution

The fourth proportional to 695.52, 959.76 and 415.77 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 959.76 = 415.77 : x
  2. Step 2: Convert to fraction form
    695.52/959.76 = 415.77/x
  3. Step 3: Cross multiply
    695.52x = 959.76 × 415.77
  4. Step 4: Simplify right side
    695.52x = 399,039.42
  5. Step 5: Solve for x
    x = 399,039.42/695.52
  6. Step 6: Final answer
    x = 573.73

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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.