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Finding the Fourth Proportional to 701.20, 1,047.38 and 697.96

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Solution

The fourth proportional to 701.20, 1,047.38 and 697.96 is: 1,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.20 : 1,047.38 = 697.96 : x
  2. Step 2: Convert to fraction form
    701.20/1,047.38 = 697.96/x
  3. Step 3: Cross multiply
    701.20x = 1,047.38 × 697.96
  4. Step 4: Simplify right side
    701.20x = 731,029.34
  5. Step 5: Solve for x
    x = 731,029.34/701.20
  6. Step 6: Final answer
    x = 1,042.54

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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.