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Finding the Fourth Proportional to 949.89, 1,422.87 and 486.27

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Solution

The fourth proportional to 949.89, 1,422.87 and 486.27 is: 728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.89 : 1,422.87 = 486.27 : x
  2. Step 2: Convert to fraction form
    949.89/1,422.87 = 486.27/x
  3. Step 3: Cross multiply
    949.89x = 1,422.87 × 486.27
  4. Step 4: Simplify right side
    949.89x = 691,897.17
  5. Step 5: Solve for x
    x = 691,897.17/949.89
  6. Step 6: Final answer
    x = 728.39

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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.