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Finding the Fourth Proportional to 504.66, 755.37 and 273

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Solution

The fourth proportional to 504.66, 755.37 and 273 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 755.37 = 273 : x
  2. Step 2: Convert to fraction form
    504.66/755.37 = 273/x
  3. Step 3: Cross multiply
    504.66x = 755.37 × 273
  4. Step 4: Simplify right side
    504.66x = 206,216.01
  5. Step 5: Solve for x
    x = 206,216.01/504.66
  6. Step 6: Final answer
    x = 408.62

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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.