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Finding the Fourth Proportional to 1,474.56, 2,211.69 and 378.90

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Solution

The fourth proportional to 1,474.56, 2,211.69 and 378.90 is: 568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.56 : 2,211.69 = 378.90 : x
  2. Step 2: Convert to fraction form
    1,474.56/2,211.69 = 378.90/x
  3. Step 3: Cross multiply
    1,474.56x = 2,211.69 × 378.90
  4. Step 4: Simplify right side
    1,474.56x = 838,007.45
  5. Step 5: Solve for x
    x = 838,007.45/1,474.56
  6. Step 6: Final answer
    x = 568.31

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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.