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Finding the Fourth Proportional to 1,385.43, 2,077.05 and 799.77

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Solution

The fourth proportional to 1,385.43, 2,077.05 and 799.77 is: 1,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.43 : 2,077.05 = 799.77 : x
  2. Step 2: Convert to fraction form
    1,385.43/2,077.05 = 799.77/x
  3. Step 3: Cross multiply
    1,385.43x = 2,077.05 × 799.77
  4. Step 4: Simplify right side
    1,385.43x = 1,661,162.73
  5. Step 5: Solve for x
    x = 1,661,162.73/1,385.43
  6. Step 6: Final answer
    x = 1,199.02

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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.