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Finding the Fourth Proportional to 1,447.79, 1,997.97 and 818.33

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Solution

The fourth proportional to 1,447.79, 1,997.97 and 818.33 is: 1,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.79 : 1,997.97 = 818.33 : x
  2. Step 2: Convert to fraction form
    1,447.79/1,997.97 = 818.33/x
  3. Step 3: Cross multiply
    1,447.79x = 1,997.97 × 818.33
  4. Step 4: Simplify right side
    1,447.79x = 1,634,985.73
  5. Step 5: Solve for x
    x = 1,634,985.73/1,447.79
  6. Step 6: Final answer
    x = 1,129.30

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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.