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Finding the Fourth Proportional to 694.41, 958.04 and 425.14

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Solution

The fourth proportional to 694.41, 958.04 and 425.14 is: 586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.41 : 958.04 = 425.14 : x
  2. Step 2: Convert to fraction form
    694.41/958.04 = 425.14/x
  3. Step 3: Cross multiply
    694.41x = 958.04 × 425.14
  4. Step 4: Simplify right side
    694.41x = 407,296.60
  5. Step 5: Solve for x
    x = 407,296.60/694.41
  6. Step 6: Final answer
    x = 586.54

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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.