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Finding the Fourth Proportional to 946.25, 1,419.78 and 329.61

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Solution

The fourth proportional to 946.25, 1,419.78 and 329.61 is: 494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.25 : 1,419.78 = 329.61 : x
  2. Step 2: Convert to fraction form
    946.25/1,419.78 = 329.61/x
  3. Step 3: Cross multiply
    946.25x = 1,419.78 × 329.61
  4. Step 4: Simplify right side
    946.25x = 467,977.77
  5. Step 5: Solve for x
    x = 467,977.77/946.25
  6. Step 6: Final answer
    x = 494.56

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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.