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Finding the Fourth Proportional to 778.29, 1,072.86 and 612.23

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Solution

The fourth proportional to 778.29, 1,072.86 and 612.23 is: 843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.29 : 1,072.86 = 612.23 : x
  2. Step 2: Convert to fraction form
    778.29/1,072.86 = 612.23/x
  3. Step 3: Cross multiply
    778.29x = 1,072.86 × 612.23
  4. Step 4: Simplify right side
    778.29x = 656,831.71
  5. Step 5: Solve for x
    x = 656,831.71/778.29
  6. Step 6: Final answer
    x = 843.94

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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.