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Finding the Fourth Proportional to 946.08, 1,418.87 and 329.78

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Solution

The fourth proportional to 946.08, 1,418.87 and 329.78 is: 494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.08 : 1,418.87 = 329.78 : x
  2. Step 2: Convert to fraction form
    946.08/1,418.87 = 329.78/x
  3. Step 3: Cross multiply
    946.08x = 1,418.87 × 329.78
  4. Step 4: Simplify right side
    946.08x = 467,906.21
  5. Step 5: Solve for x
    x = 467,906.21/946.08
  6. Step 6: Final answer
    x = 494.57

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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.