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Finding the Fourth Proportional to 503.15, 755.57 and 327.75

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Solution

The fourth proportional to 503.15, 755.57 and 327.75 is: 492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.15 : 755.57 = 327.75 : x
  2. Step 2: Convert to fraction form
    503.15/755.57 = 327.75/x
  3. Step 3: Cross multiply
    503.15x = 755.57 × 327.75
  4. Step 4: Simplify right side
    503.15x = 247,634.29
  5. Step 5: Solve for x
    x = 247,634.29/503.15
  6. Step 6: Final answer
    x = 492.17

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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.