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Finding the Fourth Proportional to 779.68, 1,166.64 and 684.64

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Solution

The fourth proportional to 779.68, 1,166.64 and 684.64 is: 1,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.68 : 1,166.64 = 684.64 : x
  2. Step 2: Convert to fraction form
    779.68/1,166.64 = 684.64/x
  3. Step 3: Cross multiply
    779.68x = 1,166.64 × 684.64
  4. Step 4: Simplify right side
    779.68x = 798,728.41
  5. Step 5: Solve for x
    x = 798,728.41/779.68
  6. Step 6: Final answer
    x = 1,024.43

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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.