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Finding the Fourth Proportional to 701.98, 1,047.26 and 676.76

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Solution

The fourth proportional to 701.98, 1,047.26 and 676.76 is: 1,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.98 : 1,047.26 = 676.76 : x
  2. Step 2: Convert to fraction form
    701.98/1,047.26 = 676.76/x
  3. Step 3: Cross multiply
    701.98x = 1,047.26 × 676.76
  4. Step 4: Simplify right side
    701.98x = 708,740.13
  5. Step 5: Solve for x
    x = 708,740.13/701.98
  6. Step 6: Final answer
    x = 1,009.63

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