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Finding the Fourth Proportional to 1,383.79, 2,074.43 and 505.66

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Solution

The fourth proportional to 1,383.79, 2,074.43 and 505.66 is: 758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.79 : 2,074.43 = 505.66 : x
  2. Step 2: Convert to fraction form
    1,383.79/2,074.43 = 505.66/x
  3. Step 3: Cross multiply
    1,383.79x = 2,074.43 × 505.66
  4. Step 4: Simplify right side
    1,383.79x = 1,048,965.02
  5. Step 5: Solve for x
    x = 1,048,965.02/1,383.79
  6. Step 6: Final answer
    x = 758.04

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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.