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Finding the Fourth Proportional to 611.89, 844.01 and 363.03

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Solution

The fourth proportional to 611.89, 844.01 and 363.03 is: 500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.89 : 844.01 = 363.03 : x
  2. Step 2: Convert to fraction form
    611.89/844.01 = 363.03/x
  3. Step 3: Cross multiply
    611.89x = 844.01 × 363.03
  4. Step 4: Simplify right side
    611.89x = 306,400.95
  5. Step 5: Solve for x
    x = 306,400.95/611.89
  6. Step 6: Final answer
    x = 500.75

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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.