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Finding the Fourth Proportional to 695.46, 959.19 and 446.80

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Solution

The fourth proportional to 695.46, 959.19 and 446.80 is: 616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.46 : 959.19 = 446.80 : x
  2. Step 2: Convert to fraction form
    695.46/959.19 = 446.80/x
  3. Step 3: Cross multiply
    695.46x = 959.19 × 446.80
  4. Step 4: Simplify right side
    695.46x = 428,566.09
  5. Step 5: Solve for x
    x = 428,566.09/695.46
  6. Step 6: Final answer
    x = 616.23

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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.