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Finding the Fourth Proportional to 778.84, 1,168.64 and 486.27

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Solution

The fourth proportional to 778.84, 1,168.64 and 486.27 is: 729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.84 : 1,168.64 = 486.27 : x
  2. Step 2: Convert to fraction form
    778.84/1,168.64 = 486.27/x
  3. Step 3: Cross multiply
    778.84x = 1,168.64 × 486.27
  4. Step 4: Simplify right side
    778.84x = 568,274.57
  5. Step 5: Solve for x
    x = 568,274.57/778.84
  6. Step 6: Final answer
    x = 729.64

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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.