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Finding the Fourth Proportional to 695.13, 958.83 and 446.78

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Solution

The fourth proportional to 695.13, 958.83 and 446.78 is: 616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.13 : 958.83 = 446.78 : x
  2. Step 2: Convert to fraction form
    695.13/958.83 = 446.78/x
  3. Step 3: Cross multiply
    695.13x = 958.83 × 446.78
  4. Step 4: Simplify right side
    695.13x = 428,381.27
  5. Step 5: Solve for x
    x = 428,381.27/695.13
  6. Step 6: Final answer
    x = 616.26

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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.