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Finding the Fourth Proportional to 720.96, 1,073.79 and 676.01

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Solution

The fourth proportional to 720.96, 1,073.79 and 676.01 is: 1,006.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.96 : 1,073.79 = 676.01 : x
  2. Step 2: Convert to fraction form
    720.96/1,073.79 = 676.01/x
  3. Step 3: Cross multiply
    720.96x = 1,073.79 × 676.01
  4. Step 4: Simplify right side
    720.96x = 725,884.87
  5. Step 5: Solve for x
    x = 725,884.87/720.96
  6. Step 6: Final answer
    x = 1,006.83

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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.