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Finding the Fourth Proportional to 851.97, 1,277.26 and 331.70

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Solution

The fourth proportional to 851.97, 1,277.26 and 331.70 is: 497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.97 : 1,277.26 = 331.70 : x
  2. Step 2: Convert to fraction form
    851.97/1,277.26 = 331.70/x
  3. Step 3: Cross multiply
    851.97x = 1,277.26 × 331.70
  4. Step 4: Simplify right side
    851.97x = 423,664.72
  5. Step 5: Solve for x
    x = 423,664.72/851.97
  6. Step 6: Final answer
    x = 497.28

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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.