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Finding the Fourth Proportional to 778.45, 1,161.13 and 708.38

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Solution

The fourth proportional to 778.45, 1,161.13 and 708.38 is: 1,056.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.45 : 1,161.13 = 708.38 : x
  2. Step 2: Convert to fraction form
    778.45/1,161.13 = 708.38/x
  3. Step 3: Cross multiply
    778.45x = 1,161.13 × 708.38
  4. Step 4: Simplify right side
    778.45x = 822,521.27
  5. Step 5: Solve for x
    x = 822,521.27/778.45
  6. Step 6: Final answer
    x = 1,056.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.