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Finding the Fourth Proportional to 789.62, 1,089.69 and 440.30

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Solution

The fourth proportional to 789.62, 1,089.69 and 440.30 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.62 : 1,089.69 = 440.30 : x
  2. Step 2: Convert to fraction form
    789.62/1,089.69 = 440.30/x
  3. Step 3: Cross multiply
    789.62x = 1,089.69 × 440.30
  4. Step 4: Simplify right side
    789.62x = 479,791.58
  5. Step 5: Solve for x
    x = 479,791.58/789.62
  6. Step 6: Final answer
    x = 607.63

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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.