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Finding the Fourth Proportional to 471.12, 709.35 and 327.75

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Solution

The fourth proportional to 471.12, 709.35 and 327.75 is: 493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.12 : 709.35 = 327.75 : x
  2. Step 2: Convert to fraction form
    471.12/709.35 = 327.75/x
  3. Step 3: Cross multiply
    471.12x = 709.35 × 327.75
  4. Step 4: Simplify right side
    471.12x = 232,489.46
  5. Step 5: Solve for x
    x = 232,489.46/471.12
  6. Step 6: Final answer
    x = 493.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.