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Finding the Fourth Proportional to 716.96, 1,069.04 and 704

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Solution

The fourth proportional to 716.96, 1,069.04 and 704 is: 1,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.96 : 1,069.04 = 704 : x
  2. Step 2: Convert to fraction form
    716.96/1,069.04 = 704/x
  3. Step 3: Cross multiply
    716.96x = 1,069.04 × 704
  4. Step 4: Simplify right side
    716.96x = 752,604.16
  5. Step 5: Solve for x
    x = 752,604.16/716.96
  6. Step 6: Final answer
    x = 1,049.72

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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.