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Finding the Fourth Proportional to 789, 1,182.42 and 423.96

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Solution

The fourth proportional to 789, 1,182.42 and 423.96 is: 635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    789 : 1,182.42 = 423.96 : x
  2. Step 2: Convert to fraction form
    789/1,182.42 = 423.96/x
  3. Step 3: Cross multiply
    789x = 1,182.42 × 423.96
  4. Step 4: Simplify right side
    789x = 501,298.78
  5. Step 5: Solve for x
    x = 501,298.78/789
  6. Step 6: Final answer
    x = 635.36

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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.