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Finding the Fourth Proportional to 946.63, 1,416.37 and 850.71

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Solution

The fourth proportional to 946.63, 1,416.37 and 850.71 is: 1,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.63 : 1,416.37 = 850.71 : x
  2. Step 2: Convert to fraction form
    946.63/1,416.37 = 850.71/x
  3. Step 3: Cross multiply
    946.63x = 1,416.37 × 850.71
  4. Step 4: Simplify right side
    946.63x = 1,204,920.12
  5. Step 5: Solve for x
    x = 1,204,920.12/946.63
  6. Step 6: Final answer
    x = 1,272.85

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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.