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Finding the Fourth Proportional to 778.68, 1,162.28 and 696.47

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Solution

The fourth proportional to 778.68, 1,162.28 and 696.47 is: 1,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,162.28 = 696.47 : x
  2. Step 2: Convert to fraction form
    778.68/1,162.28 = 696.47/x
  3. Step 3: Cross multiply
    778.68x = 1,162.28 × 696.47
  4. Step 4: Simplify right side
    778.68x = 809,489.08
  5. Step 5: Solve for x
    x = 809,489.08/778.68
  6. Step 6: Final answer
    x = 1,039.57

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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.