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Finding the Fourth Proportional to 788.01, 1,181.49 and 441.38

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Solution

The fourth proportional to 788.01, 1,181.49 and 441.38 is: 661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.01 : 1,181.49 = 441.38 : x
  2. Step 2: Convert to fraction form
    788.01/1,181.49 = 441.38/x
  3. Step 3: Cross multiply
    788.01x = 1,181.49 × 441.38
  4. Step 4: Simplify right side
    788.01x = 521,486.06
  5. Step 5: Solve for x
    x = 521,486.06/788.01
  6. Step 6: Final answer
    x = 661.78

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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.