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Finding the Fourth Proportional to 778.01, 1,074.09 and 513.21

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Solution

The fourth proportional to 778.01, 1,074.09 and 513.21 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.01 : 1,074.09 = 513.21 : x
  2. Step 2: Convert to fraction form
    778.01/1,074.09 = 513.21/x
  3. Step 3: Cross multiply
    778.01x = 1,074.09 × 513.21
  4. Step 4: Simplify right side
    778.01x = 551,233.73
  5. Step 5: Solve for x
    x = 551,233.73/778.01
  6. Step 6: Final answer
    x = 708.52

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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.