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Finding the Fourth Proportional to 1,380.62, 2,071.74 and 515.54

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Solution

The fourth proportional to 1,380.62, 2,071.74 and 515.54 is: 773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.62 : 2,071.74 = 515.54 : x
  2. Step 2: Convert to fraction form
    1,380.62/2,071.74 = 515.54/x
  3. Step 3: Cross multiply
    1,380.62x = 2,071.74 × 515.54
  4. Step 4: Simplify right side
    1,380.62x = 1,068,064.84
  5. Step 5: Solve for x
    x = 1,068,064.84/1,380.62
  6. Step 6: Final answer
    x = 773.61

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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.