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Finding the Fourth Proportional to 789.72, 1,089.87 and 440.40

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Solution

The fourth proportional to 789.72, 1,089.87 and 440.40 is: 607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.72 : 1,089.87 = 440.40 : x
  2. Step 2: Convert to fraction form
    789.72/1,089.87 = 440.40/x
  3. Step 3: Cross multiply
    789.72x = 1,089.87 × 440.40
  4. Step 4: Simplify right side
    789.72x = 479,978.75
  5. Step 5: Solve for x
    x = 479,978.75/789.72
  6. Step 6: Final answer
    x = 607.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.