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Finding the Fourth Proportional to 789.01, 1,181.08 and 633.49

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Solution

The fourth proportional to 789.01, 1,181.08 and 633.49 is: 948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.01 : 1,181.08 = 633.49 : x
  2. Step 2: Convert to fraction form
    789.01/1,181.08 = 633.49/x
  3. Step 3: Cross multiply
    789.01x = 1,181.08 × 633.49
  4. Step 4: Simplify right side
    789.01x = 748,193.30
  5. Step 5: Solve for x
    x = 748,193.30/789.01
  6. Step 6: Final answer
    x = 948.27

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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.