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Finding the Fourth Proportional to 1,380.73, 2,071.50 and 650.38

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Solution

The fourth proportional to 1,380.73, 2,071.50 and 650.38 is: 975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.73 : 2,071.50 = 650.38 : x
  2. Step 2: Convert to fraction form
    1,380.73/2,071.50 = 650.38/x
  3. Step 3: Cross multiply
    1,380.73x = 2,071.50 × 650.38
  4. Step 4: Simplify right side
    1,380.73x = 1,347,248.56
  5. Step 5: Solve for x
    x = 1,347,248.56/1,380.73
  6. Step 6: Final answer
    x = 975.75

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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.