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Finding the Fourth Proportional to 462.67, 694.25 and 308.68

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Solution

The fourth proportional to 462.67, 694.25 and 308.68 is: 463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.67 : 694.25 = 308.68 : x
  2. Step 2: Convert to fraction form
    462.67/694.25 = 308.68/x
  3. Step 3: Cross multiply
    462.67x = 694.25 × 308.68
  4. Step 4: Simplify right side
    462.67x = 214,296.08
  5. Step 5: Solve for x
    x = 214,296.08/462.67
  6. Step 6: Final answer
    x = 463.18

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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.