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Finding the Fourth Proportional to 789.78, 1,089.99 and 453.81

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Solution

The fourth proportional to 789.78, 1,089.99 and 453.81 is: 626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.78 : 1,089.99 = 453.81 : x
  2. Step 2: Convert to fraction form
    789.78/1,089.99 = 453.81/x
  3. Step 3: Cross multiply
    789.78x = 1,089.99 × 453.81
  4. Step 4: Simplify right side
    789.78x = 494,648.36
  5. Step 5: Solve for x
    x = 494,648.36/789.78
  6. Step 6: Final answer
    x = 626.31

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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.