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Finding the Fourth Proportional to 694.77, 959.09 and 458.85

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Solution

The fourth proportional to 694.77, 959.09 and 458.85 is: 633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.77 : 959.09 = 458.85 : x
  2. Step 2: Convert to fraction form
    694.77/959.09 = 458.85/x
  3. Step 3: Cross multiply
    694.77x = 959.09 × 458.85
  4. Step 4: Simplify right side
    694.77x = 440,078.45
  5. Step 5: Solve for x
    x = 440,078.45/694.77
  6. Step 6: Final answer
    x = 633.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.