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Finding the Fourth Proportional to 843.78, 1,263.50 and 706.46

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Solution

The fourth proportional to 843.78, 1,263.50 and 706.46 is: 1,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.78 : 1,263.50 = 706.46 : x
  2. Step 2: Convert to fraction form
    843.78/1,263.50 = 706.46/x
  3. Step 3: Cross multiply
    843.78x = 1,263.50 × 706.46
  4. Step 4: Simplify right side
    843.78x = 892,612.21
  5. Step 5: Solve for x
    x = 892,612.21/843.78
  6. Step 6: Final answer
    x = 1,057.87

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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.