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Finding the Fourth Proportional to 695.99, 959.59 and 446.87

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Solution

The fourth proportional to 695.99, 959.59 and 446.87 is: 616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.99 : 959.59 = 446.87 : x
  2. Step 2: Convert to fraction form
    695.99/959.59 = 446.87/x
  3. Step 3: Cross multiply
    695.99x = 959.59 × 446.87
  4. Step 4: Simplify right side
    695.99x = 428,811.98
  5. Step 5: Solve for x
    x = 428,811.98/695.99
  6. Step 6: Final answer
    x = 616.12

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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.