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Finding the Fourth Proportional to 564.37, 846.25 and 174.25

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Solution

The fourth proportional to 564.37, 846.25 and 174.25 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.37 : 846.25 = 174.25 : x
  2. Step 2: Convert to fraction form
    564.37/846.25 = 174.25/x
  3. Step 3: Cross multiply
    564.37x = 846.25 × 174.25
  4. Step 4: Simplify right side
    564.37x = 147,459.68
  5. Step 5: Solve for x
    x = 147,459.68/564.37
  6. Step 6: Final answer
    x = 261.28

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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.