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Finding the Fourth Proportional to 789.24, 1,181.42 and 437.36

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Solution

The fourth proportional to 789.24, 1,181.42 and 437.36 is: 654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.24 : 1,181.42 = 437.36 : x
  2. Step 2: Convert to fraction form
    789.24/1,181.42 = 437.36/x
  3. Step 3: Cross multiply
    789.24x = 1,181.42 × 437.36
  4. Step 4: Simplify right side
    789.24x = 516,705.85
  5. Step 5: Solve for x
    x = 516,705.85/789.24
  6. Step 6: Final answer
    x = 654.69

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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.