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Finding the Fourth Proportional to 778.56, 1,166.46 and 693.82

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Solution

The fourth proportional to 778.56, 1,166.46 and 693.82 is: 1,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,166.46 = 693.82 : x
  2. Step 2: Convert to fraction form
    778.56/1,166.46 = 693.82/x
  3. Step 3: Cross multiply
    778.56x = 1,166.46 × 693.82
  4. Step 4: Simplify right side
    778.56x = 809,307.44
  5. Step 5: Solve for x
    x = 809,307.44/778.56
  6. Step 6: Final answer
    x = 1,039.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.