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Finding the Fourth Proportional to 504.49, 756.03 and 273.51

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Solution

The fourth proportional to 504.49, 756.03 and 273.51 is: 409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.49 : 756.03 = 273.51 : x
  2. Step 2: Convert to fraction form
    504.49/756.03 = 273.51/x
  3. Step 3: Cross multiply
    504.49x = 756.03 × 273.51
  4. Step 4: Simplify right side
    504.49x = 206,781.77
  5. Step 5: Solve for x
    x = 206,781.77/504.49
  6. Step 6: Final answer
    x = 409.88

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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.