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Finding the Fourth Proportional to 563.88, 845.39 and 271.23

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Solution

The fourth proportional to 563.88, 845.39 and 271.23 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.88 : 845.39 = 271.23 : x
  2. Step 2: Convert to fraction form
    563.88/845.39 = 271.23/x
  3. Step 3: Cross multiply
    563.88x = 845.39 × 271.23
  4. Step 4: Simplify right side
    563.88x = 229,293.77
  5. Step 5: Solve for x
    x = 229,293.77/563.88
  6. Step 6: Final answer
    x = 406.64

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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.