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Finding the Fourth Proportional to 789.08, 1,182.20 and 442

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Solution

The fourth proportional to 789.08, 1,182.20 and 442 is: 662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.08 : 1,182.20 = 442 : x
  2. Step 2: Convert to fraction form
    789.08/1,182.20 = 442/x
  3. Step 3: Cross multiply
    789.08x = 1,182.20 × 442
  4. Step 4: Simplify right side
    789.08x = 522,532.40
  5. Step 5: Solve for x
    x = 522,532.40/789.08
  6. Step 6: Final answer
    x = 662.20

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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.