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Finding the Fourth Proportional to 778.29, 1,074.48 and 513.49

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Solution

The fourth proportional to 778.29, 1,074.48 and 513.49 is: 708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.29 : 1,074.48 = 513.49 : x
  2. Step 2: Convert to fraction form
    778.29/1,074.48 = 513.49/x
  3. Step 3: Cross multiply
    778.29x = 1,074.48 × 513.49
  4. Step 4: Simplify right side
    778.29x = 551,735.12
  5. Step 5: Solve for x
    x = 551,735.12/778.29
  6. Step 6: Final answer
    x = 708.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.