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Finding the Fourth Proportional to 789.52, 1,089.56 and 440.20

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Solution

The fourth proportional to 789.52, 1,089.56 and 440.20 is: 607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.52 : 1,089.56 = 440.20 : x
  2. Step 2: Convert to fraction form
    789.52/1,089.56 = 440.20/x
  3. Step 3: Cross multiply
    789.52x = 1,089.56 × 440.20
  4. Step 4: Simplify right side
    789.52x = 479,624.31
  5. Step 5: Solve for x
    x = 479,624.31/789.52
  6. Step 6: Final answer
    x = 607.49

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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.