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Finding the Fourth Proportional to 514.20, 709.11 and 327.63

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Solution

The fourth proportional to 514.20, 709.11 and 327.63 is: 451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 709.11 = 327.63 : x
  2. Step 2: Convert to fraction form
    514.20/709.11 = 327.63/x
  3. Step 3: Cross multiply
    514.20x = 709.11 × 327.63
  4. Step 4: Simplify right side
    514.20x = 232,325.71
  5. Step 5: Solve for x
    x = 232,325.71/514.20
  6. Step 6: Final answer
    x = 451.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.