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Finding the Fourth Proportional to 1,380.37, 2,068.90 and 795.64

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Solution

The fourth proportional to 1,380.37, 2,068.90 and 795.64 is: 1,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.37 : 2,068.90 = 795.64 : x
  2. Step 2: Convert to fraction form
    1,380.37/2,068.90 = 795.64/x
  3. Step 3: Cross multiply
    1,380.37x = 2,068.90 × 795.64
  4. Step 4: Simplify right side
    1,380.37x = 1,646,099.60
  5. Step 5: Solve for x
    x = 1,646,099.60/1,380.37
  6. Step 6: Final answer
    x = 1,192.51

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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.