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Finding the Fourth Proportional to 462.09, 694.97 and 401.95

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Solution

The fourth proportional to 462.09, 694.97 and 401.95 is: 604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.09 : 694.97 = 401.95 : x
  2. Step 2: Convert to fraction form
    462.09/694.97 = 401.95/x
  3. Step 3: Cross multiply
    462.09x = 694.97 × 401.95
  4. Step 4: Simplify right side
    462.09x = 279,343.19
  5. Step 5: Solve for x
    x = 279,343.19/462.09
  6. Step 6: Final answer
    x = 604.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.