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Finding the Fourth Proportional to 1,082.87, 1,493.54 and 783.68

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Solution

The fourth proportional to 1,082.87, 1,493.54 and 783.68 is: 1,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.87 : 1,493.54 = 783.68 : x
  2. Step 2: Convert to fraction form
    1,082.87/1,493.54 = 783.68/x
  3. Step 3: Cross multiply
    1,082.87x = 1,493.54 × 783.68
  4. Step 4: Simplify right side
    1,082.87x = 1,170,448.98
  5. Step 5: Solve for x
    x = 1,170,448.98/1,082.87
  6. Step 6: Final answer
    x = 1,080.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.