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Finding the Fourth Proportional to 678.73, 1,016.17 and 446.92

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Solution

The fourth proportional to 678.73, 1,016.17 and 446.92 is: 669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.73 : 1,016.17 = 446.92 : x
  2. Step 2: Convert to fraction form
    678.73/1,016.17 = 446.92/x
  3. Step 3: Cross multiply
    678.73x = 1,016.17 × 446.92
  4. Step 4: Simplify right side
    678.73x = 454,146.70
  5. Step 5: Solve for x
    x = 454,146.70/678.73
  6. Step 6: Final answer
    x = 669.11

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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.