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Finding the Fourth Proportional to 946.14, 1,419.12 and 329.85

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Solution

The fourth proportional to 946.14, 1,419.12 and 329.85 is: 494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.14 : 1,419.12 = 329.85 : x
  2. Step 2: Convert to fraction form
    946.14/1,419.12 = 329.85/x
  3. Step 3: Cross multiply
    946.14x = 1,419.12 × 329.85
  4. Step 4: Simplify right side
    946.14x = 468,096.73
  5. Step 5: Solve for x
    x = 468,096.73/946.14
  6. Step 6: Final answer
    x = 494.74

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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.