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Finding the Fourth Proportional to 462, 691.97 and 279.17

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Solution

The fourth proportional to 462, 691.97 and 279.17 is: 418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 691.97 = 279.17 : x
  2. Step 2: Convert to fraction form
    462/691.97 = 279.17/x
  3. Step 3: Cross multiply
    462x = 691.97 × 279.17
  4. Step 4: Simplify right side
    462x = 193,172.41
  5. Step 5: Solve for x
    x = 193,172.41/462
  6. Step 6: Final answer
    x = 418.12

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