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Finding the Fourth Proportional to 563.31, 845.09 and 173.34

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Solution

The fourth proportional to 563.31, 845.09 and 173.34 is: 260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.31 : 845.09 = 173.34 : x
  2. Step 2: Convert to fraction form
    563.31/845.09 = 173.34/x
  3. Step 3: Cross multiply
    563.31x = 845.09 × 173.34
  4. Step 4: Simplify right side
    563.31x = 146,487.03
  5. Step 5: Solve for x
    x = 146,487.03/563.31
  6. Step 6: Final answer
    x = 260.05

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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.