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Finding the Fourth Proportional to 701.22, 1,046.13 and 667.20

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Solution

The fourth proportional to 701.22, 1,046.13 and 667.20 is: 995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.22 : 1,046.13 = 667.20 : x
  2. Step 2: Convert to fraction form
    701.22/1,046.13 = 667.20/x
  3. Step 3: Cross multiply
    701.22x = 1,046.13 × 667.20
  4. Step 4: Simplify right side
    701.22x = 697,977.94
  5. Step 5: Solve for x
    x = 697,977.94/701.22
  6. Step 6: Final answer
    x = 995.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.