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Finding the Fourth Proportional to 779.92, 1,166.44 and 693.86

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Solution

The fourth proportional to 779.92, 1,166.44 and 693.86 is: 1,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.92 : 1,166.44 = 693.86 : x
  2. Step 2: Convert to fraction form
    779.92/1,166.44 = 693.86/x
  3. Step 3: Cross multiply
    779.92x = 1,166.44 × 693.86
  4. Step 4: Simplify right side
    779.92x = 809,346.06
  5. Step 5: Solve for x
    x = 809,346.06/779.92
  6. Step 6: Final answer
    x = 1,037.73

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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.