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Finding the Fourth Proportional to 838.43, 1,257.03 and 563.84

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Solution

The fourth proportional to 838.43, 1,257.03 and 563.84 is: 845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.43 : 1,257.03 = 563.84 : x
  2. Step 2: Convert to fraction form
    838.43/1,257.03 = 563.84/x
  3. Step 3: Cross multiply
    838.43x = 1,257.03 × 563.84
  4. Step 4: Simplify right side
    838.43x = 708,757.51
  5. Step 5: Solve for x
    x = 708,757.51/838.43
  6. Step 6: Final answer
    x = 845.34

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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.