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Finding the Fourth Proportional to 789.54, 1,182.56 and 378.06

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Solution

The fourth proportional to 789.54, 1,182.56 and 378.06 is: 566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.54 : 1,182.56 = 378.06 : x
  2. Step 2: Convert to fraction form
    789.54/1,182.56 = 378.06/x
  3. Step 3: Cross multiply
    789.54x = 1,182.56 × 378.06
  4. Step 4: Simplify right side
    789.54x = 447,076.74
  5. Step 5: Solve for x
    x = 447,076.74/789.54
  6. Step 6: Final answer
    x = 566.25

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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.