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Finding the Fourth Proportional to 1,778.68, 2,666.94 and 684.04

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Solution

The fourth proportional to 1,778.68, 2,666.94 and 684.04 is: 1,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.68 : 2,666.94 = 684.04 : x
  2. Step 2: Convert to fraction form
    1,778.68/2,666.94 = 684.04/x
  3. Step 3: Cross multiply
    1,778.68x = 2,666.94 × 684.04
  4. Step 4: Simplify right side
    1,778.68x = 1,824,293.64
  5. Step 5: Solve for x
    x = 1,824,293.64/1,778.68
  6. Step 6: Final answer
    x = 1,025.64

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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.